Q1.
The measure of the angle which is one fifth of its supplement is:
Q2.
In the adjoining figure, if \(AB || CD\), \(\angle APQ = 50^\circ \) and \( \angle PRD = 127^\circ\), find the value of x.
50
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Q3.
In the adjoining figure, if \( AB \parallel CD, EF \perp CD \) and \(\angle GED = 126^\circ\), what is the measure of\(\angle EGF\)?
54
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Q4.
In the adjoining figure, lines XY and MN intersect at O. If \(\angle POY = 90^\circ\) and a : b = 2 : 3, what is the value of b?
54
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Q5.
What are two angles having a common vertex and a common arm called?
adjacent angles
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Q6.
What is the supplement angle of \(100^\circ\)?
8O
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Q7.
What is an angle measuring between \(180^\circ \) and \(360^\circ\) called?
Reflex angle.
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Q8.
If one angle forming a linear pair is \(95^\circ\), then the other angle is:
Q9.
If two parallel lines are intersected by a transversal, the exterior angles on the same side of the transversal are:
Q10.
If one angle is \( 43^\circ,\) what will be the measure of adjacent angle forming linear pair with it?
137
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Q11.
If two lines intersect, the adjacent angles formed are always:
Q12.
If angles x and y are vertically opposite, then:
Q13.
If a transversal intersects parallel lines and one of the interior angles is \(120^\circ\), then its adjacent interior angle is:
Q14.
If two parallel lines are intersected by a transversal and one angle is \(70^\circ\), the measure of its alternate interior angle is:
Q15.
The sum of angles formed by two intersecting lines is:
Q16.
If one of the vertically opposite angles is \(x^\circ\), then the measure of its adjacent angle is:
Q17.
If a transversal intersects two lines such that the corresponding angles are not equal, then the lines are:
Q18.
If two adjacent angles forming a linear pair are \( (x+10)^\circ \) and \((2x-10)^\circ \), then the value of x is:
Q19.
If vertically opposite angles are \((4x + 5)^\circ \) and \((2x+45)^\circ\), find the measure of each angle.
85
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Q20.
If two supplementary angles are in ratio 2 : 7, what is the measure of the smaller angle?
40
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Q21.
If complementary angles are in ratio 3 : 2, what is the measure of the larger angle?
54
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Q22.
If one angle is \((x + 20)^\circ \) and its supplement angle is \( (2x + 10)^\circ\), find the measure of the smaller angle.
70
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Q23.
A transversal intersects two parallel lines. If the alternate interior angles are \((3x+15)^\circ \) and \((5x-25)^\circ\), find their measures in degrees?
75 and 75
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Q24.
A transversal intersects two parallel lines. If corresponding angles are \((4x + 10)^\circ \) and \((2x + 50)^\circ\), find the value of x.
20
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Q25.
A transversal intersects two parallel lines. If co-interior angles are \((3x)^\circ\) and \( (5x - 60)^\circ\), find the value of x.
30
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Q26.
If a transversal intersects two parallel lines and one of the angles is \(75^\circ\), what is the measure of its corresponding angle?
75
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Q27.
A transversal intersects two parallel lines. If co-interior angles are \( 110^\circ\) and \( y^\circ\), find the value of y.
70
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Q28.
If one angle is \((4x + 10)^\circ\) and its supplement angle is \((3x - 40)^\circ\), find the value of x.
30
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Q29.
If three angles formed on a straight line are x, 2x, 3x. Find the value of x.
30
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Q30.
If four angles around a point are x, 2x, 3x, 4x. Find the measure of the largest angle.
144
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Q31.
If one angle is \((x+30)^\circ\)and its vertically opposite angle is \((2x-10)^\circ\), find the value of x.
40
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Q32.
What is the measure of an angle which is four times of its supplement?
144
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Q33.
If an angle is \(28^\circ\) less than its complement, find its measure.
31
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Q34.
If \(\angle A \) and \(\angle B \) form a linear pair and \(\angle A - \angle B = 80^\circ \), what is the measure \(\angle A\)?
130
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Q35.
What is the measure of an angle which is \(\frac {1} {5}\) of a straight angle?
36
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Q36.
If two parallel lines are intersected by a transversal, what is the sum of a pair of interior angles on the same side of transversal?
180
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Q37.
If a transversal intersects two parallel lines and one of the interior angles is \(65^\circ\), find the measure of its alternate interior angle.
65
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Q38.
If \(L_1 \parallel L_2\) and \(L_2 \parallel L_3\), what is the relationship between \(L_1 \) and \(L_3\)?
Parallel
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Q39.
If one angle of a linear pair is acute, then the other angle is ____.
Obtuse
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Q40.
What is the measure of the angle between the bisectors of two angles forming a linear pair?
90
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Q41.
If a transversal intersects two parallel lines, what quadrilateral is formed by the bisectors of the four interior angles?
Rectangle or Square
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Q42.
If two lines intersect and one pair of vertically opposite angles are supplementary, what is the measure of each angle?
Q43.
How many pairs of adjacent angles are formed when two lines intersect?
4
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Q44.
If a transversal intersects two parallel lines and the ratio of the interior angles on the same side of the transversal is \(5 : 1\), what is the measure of the larger angle?
150
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Q45.
Two supplementary angles are in the ratio 3 : 2. Find the smaller angle.
72
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Q46.
What is the measure of an angle whose complement is one-third of its supplement?
45
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Q47.
If the ratio of an angle to its complement is 4 : 5, find the angle.
40
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Q48.
If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel, the lines are ____.
Q49.
In the adjoining figure, if \(DE\parallel AF\), then find the value of x.
Q50.
What is the angle whose measure is one- fourth of complete angle?
Right angle or 90
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Q51.
What will be the measure, if a line OA revolves and comes to position OA again after completing one revolution?
360
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Q52.
Which of following angles are supplementary?
Q53.
Which of the following angles are complementary?
Q54.
In the adjoining figure,OA and OB are opposite rays. If \(\angle BOC = 75^\circ\), find the measure of reflex \(\angle AOC\).
Q55.
In the adjoining figure, if \(\angle AOC + \angle BOD = 70^\circ\), what will be the measure of reflex \( \angle COD\)?
250
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Q56.
In the adjoining figure, find the value of x.
43
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Q57.
In the adjoining figure, OP bisects of \(\angle AOC\), OQ bisects \(\angle BOC \) and \( OP \perp OQ\). The measure of \((\angle AOP + \angle BOQ)\) is:
Q58.
In the adjoining figure, if \(\angle AOD = 45^\circ\), then the measure of \(\angle BOC\) is:
Q59.
Two adjacent angles on a straight line are in the ratio 6 : 3, the measure of the greater angle is:
Q60.
Two supplementary angles differ by \(28^\circ\). The angles are:
Q61.
The angle which is two times of its supplement is:
Q62.
Two lines AB and CD intersect at a point O, such that \(\angle BOC + \angle AOD = 280^\circ\). Then the measure of \(\angle AOC + \angle BOD\) is:
Q63.
In the given figure, the value of x and y respectively are:
Q64.
Lines AB and CD intersect each other at O. If \(\angle AOC : \angle BOC = 2 : 7\), then the measure of \(\angle BOD\) is:
Q65.
In the adjoining figure, if \( AB\parallel CD \), then find the value of x.
120
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Q66.
In the adjoining figure, \(AB \parallel CD\). Find the value of x.
100
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Q67.
If two non-degenerate angles are complements of each other, then each angle is:
Q68.
In the adjoining figure, lines AB and CD intersect at O. If \(\angle AOC + \angle BOD = 130^\circ\), then the measure of \(\angle AOD\):
Q69.
In the adjoining figure, \(AB \parallel CD \text { and } BC \parallel ED\). The value of x is:
Q70.
In the adjoining figure, OA and OB are opposite rays. If \(x = 25^\circ\), what is the measure of reflex \(\angle AOC\)?
255
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Q71.
An angle is \(14^\circ\) more than its complementary angle. What is its measure?
52
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Q72.
In the adjoining figure, POS is a line. What is the value x?
20
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Q73.
Two lines AB and CD intersect at O. If \(\angle AOC + \angle COB + \angle BOD = 270°\), then the measure of \(\angle AOD\) is :
Q74.
The straight lines perpendicular to the same straight line are:
Q75.
In the given figure, a ray OP stands on the line XY. The measure of \(\angle POX\) is:
Q76.
In the given figure, which of the following pairs of angles form a linear pair?
Q77.
In the adjoining figure, lines l, m and n intersect at O. Which of the following relation is incorrect?
Q78.
A transversal intersects two parallel lines. If the alternate exterior angles are \((3x)^\circ\) and \( (5x - 60)^\circ\), then the measure of each angle is:
Q79.
The two adjacent angles forming a linear pair are \( (2x+10)^\circ \) and \((3x-10)^\circ \). what is the value of x?
36
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Q80.
A transversal intersects two parallel lines. If corresponding angles are \((4x + 10)^\circ \) and \((2x + 50)^\circ\), then the measure of each angle is:
Q81.
Two perpendicular lines divide each other into how many right angles?
4
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Q82.
In the given figure, \(AB \parallel CD \) and \( EF \perp AB\). If EG is a transversal such that \(\angle GED\ = 130^\circ\). What is the measure of \( \angle GEF + \angle AGE \)?
170
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Q83.
In the adjoining figure, if \(PQ || RS, \angle MXQ = 135^\circ\) and \(\angle MYR = 40^\circ\), find \(\angle XMY\).
Q84.
In the adjoining figure, if x + y = w + z, then which of the following is the incorrect statement?
Q85.
In the adjoining figure, EF || DQ and AB || CD. If \(\angle FEB = 64^\circ\) and \(\angle PDC = 27^\circ\), then find \(\angle QDE\).
Q86.
It is given that \(\angle XYZ = 64^\circ\) and XY is produced to point P. If ray YQ bisects \(\angle ZYP\), find \(\angle XYQ\).
Q87.
In the adjoining figure, if \(PQ ‖ ST, \angle PQR = 110^\circ\) and \(\angle RST = 130^\circ\). Find \(\angle QRS\).
Q88.
Given that \( ∠ABC=78^\circ\) and BC is extended to a point X, ray BP bisects \(∠ABX\). The measure of the reflex \(∠PBX\) is:
Q89.
In the given figure, lines AB and CD intersect at O. If \(∠AOC : ∠BOE \) = 3 : 2 and \(∠BOE=40
^\circ \). Then the measure of \(∠COE\) is:
Q90.
In the adjoining figure, if \(l_1 \parallel l_2\), then the value of y is:
Q91.
In the given figure, \(AB || CD\) and \(CD || EF\). Also \(EA ⊥ AB\). If \(∠ BEF = 55°\), then the values of \((x + z)\) is:
Q92.
In the given figure, \(AB \parallel DC, EF \parallel BC\) . Find the measure of \(\angle GCB\).
70
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Q93.
A line which intersects two or more given lines at distinct points is called:
Q94.
In the given figure , \(n \parallel m\) and \(p \parallel q\) . If \(∠2 = ∠1 + \frac{1}{3}\)of a right angle.The measure of \(\angle 1\) is:
Q95.
In the given figure, \(AB \parallel CD\) and PQ is a transversal.The value of x and y are:
Q96.
In the given figure, AB parallel to DC. The values of z.
Q97.
In the given figure, if \( AB \parallel MN \parallel CD\), \(∠ 1 =55^\circ\) and \(∠2=20^\circ\). The measure of \(\angle 4\) is:
Q98.
In the given figure, \(p \parallel q\) and \(m \parallel n\). If \(\angle 1 = (2x + y)^\circ\) and \(\angle 6 = (3x - y)^\circ\), what is the measure of \(\angle 2\) in terms of y?
(108 - y)
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Q99.
In the given figure , \(AB ǁ CD ǁ EF\). The value of ( y + x ) : ( y – x) is:
Q100.
In the given figure, if lines m and n are parallel, then what is the value of x in degree?
85
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