CBSE Class 9 Maths Lines and Angles MCQs

Question. If a ray stands on a line then the sum of the adjacent angles so formed is
(a) 100⁰
(b) 180⁰ 
(c) 90⁰
(d) 360⁰

Question. The sum of all the angles around a point is
(a) 100⁰
(b) 180⁰ 
(c) 90⁰
(d) 360⁰

Question. The sum of all the angles formed on the same side of a line at a given point on the line is
(a) 100⁰
(b) 180⁰ 
(c) 90⁰
(d) 360⁰

Question. The angle which is four times its complement is
(a) 60⁰
(b) 30⁰ 
(c) 45⁰
(d) 72⁰

Question. The angle which is five times its supplement is
(a) 150⁰
(b) 180⁰ 
(c) 90⁰
(d) 360⁰

Question. The measure of an angle which is equal to its complement is
(a) 60⁰
(b) 30⁰ 
(c) 45⁰
(d) 15⁰

Question. The measure of an angle which is equal to its supplement is
(a) 100⁰
(b) 75⁰ 
(c) 90⁰
(d) 60⁰

Question. If two parallel lines are intersected by a transversal, then the bisectors of the two pairs of interior angles enclose
(a) a square
(b) a rectangle
(c) a parallelogram
(d) a trapezium

Question. Two adjacent angles on a straight line are in the ratio 5 : 4. then the measure of each one of these angles are
(a) 100⁰ and 80⁰
(b) 75⁰ and 105⁰ 
(c) 90⁰ and 90⁰
(d) 60⁰ and 120⁰

Question. Two lines PQ and RS intersect at O. If
(a) 120⁰
(b) 130⁰ 
(c) 90⁰
(d) 150⁰

Question. In the adjoining figure the value of x is
(a) 25⁰
(b) 28⁰ 
(c) 30⁰
(d) 60⁰

Question. If two straight lines intersect each other in such a way that one of the angles so formed measure 90⁰, then each of the remaining angles measures is
(a) 50⁰
(b) 75⁰ 
(c) 90⁰
(d) 60⁰

Question. In fig. AB and CD intersect each other at O. If ∠AOC + ∠BOE = 700 and ∠BOD = 400 then the value of ∠BOE is 

(a) 30⁰
(b) 110⁰
(c) 120⁰
(d) 150⁰

Question. In fig. POQ is a line, ∠POR = 4x and ∠QOR = 2x then the value of x is 

(a) 50⁰
(b) 20⁰
(c) 30⁰
(d) 900

Question. In the given fig. ∠AOC + ∠BOD = 750, then the value of ∠COD is

(a) 130⁰
(b) 105
(c) 120⁰
(d) 750

Question. In the fig. the value of y is: 

(a) 60⁰
(b) 18⁰
(c) 30⁰
(d) 900

Question. In fig., the value of x is: 

(a) 60⁰
(b) 15⁰
(c) 30⁰
(d) 450

Question. In fig. ∠POR and ∠QOR form a linear pair if a – b = 80⁰ then values of a and b respectively are: 

(a) 130⁰ and 50⁰
(b) 50⁰ and 130⁰
(c) 60⁰ and 120⁰
(d) 40⁰ and 1400

Question. For two parallel lines sum of interior angles on the same side of a transversal line is
(a) 100⁰
(b) 180⁰
(c) 90⁰
(d) 3600

Question. In fig., lines XY and MN intersect each other at point O. If ∠POY = 900 and a : b = 2 : 3 then the value of ∠C is 

(a) 140⁰
(b) 120⁰
(c) 80⁰
(d) 950

Question. In fig. ∠XYZ = 640 and XY is produced to point P. If ray YQ bisect ∠ZYP then the value of ∠XYQ is 

(a) 122⁰
(b) 126⁰
(c) 302⁰
(d) 2580

Question. In fig., b is more than one-third of a right angle than a. The values of a and b are:
(a) 950 and 85⁰
(b) 1050 and 75⁰
(c) 600 and 120⁰
(d) 650 and 1150

Question. In fig., n – x = 30 then values of x and n are: 

(a) 126⁰ and 129⁰
(b) 125⁰ and 28⁰
(c) 150⁰ and 95⁰
(d) 1350 and 650

Question. In fig., q || r and p is transversal. If ∠1 and ∠2, 3 : 2 then the values of ∠3 and ∠4 are:  

(a) 108⁰ and 72⁰
(b) 72⁰ and 108⁰
(c) 75⁰ and 105⁰
(d) 85⁰ and 950

Question. In fig. the values of x and y are equal to: 

(a) 130⁰
(b) 150⁰
(c) 160⁰
(d) 135⁰

Question. In fig. AB and CD intersect each other at O. If ∠AOC + ∠BOE = 700 and ∠BOD = 400 then the value of ∠COE is
(a) 250⁰
(b) 70⁰
(c) 30⁰
(d) 50⁰

Question. In fig, if AB || CD, CD || EF and y : z = 3 : 7 then value of x is: 

(a) 126⁰
(b) 120⁰
(c) 58⁰
(d) 62⁰

Question. In fig, if AB || CD, EF ⊥ CD and ∠GED = 126⁰ then the value of ∠AGE is 

(a) 126⁰
(b) 120⁰
(c) 128⁰
(d) 54⁰

Question. In fig, if PQ || ST, ∠PQR = 110⁰ and ∠RST = 130⁰ then the value of ∠QRS is 

(a) 60⁰
(b) 120⁰
(c) 80⁰
(d) 90⁰

Question. In fig., AB || CD, ∠APQ = 50⁰, ∠PRD = 127⁰, then the value of x and y respectively are 

(a) 50⁰ and 77⁰
(b) 40⁰ and 85⁰
(c) 60⁰ and 90⁰
(d) 85⁰ and 75⁰

Question. In fig, AB || CD, the value of x is: 

(a) 185⁰
(b) 280⁰
(c) 285⁰
(d) 195⁰

Question. In fig, if ∠AOC, ∠COD are equal and ∠BOD is a right angle, then the values of ∠AOC and ∠COD are: 

(a) 60⁰
(b) 30⁰
(c) 45⁰
(d) 90⁰

Question. In fig, the sum of ∠a and ∠b is: 

(a) ∠c + ∠d
(b) ∠d + ∠e
(c) ∠b + ∠c
(d) ∠a + ∠c

Question. In triangle interior opposite angle is always less than:
(a) any angle of the triangle
(b) opposite angle
(c) right angle
(d) exterior angle

Question. In a triangle sum of two interior opposite angles is always equal to:
(a) third angle
(b) opposite angle
(c) right angle
(d) none of these

Question. In a triangle exterior angle is always greater than:
(a) third angle
(b) interior opposite angles
(c) right angle
(d) none of these

Question: What is the common between the three angles of a triangle and a linear pair
(a) angles are equal
(b) in both cases sum of angle is 180°.
(c) In triangle there are three angles and in linear pair there are two angles
(d) none of these.

Question: In the given below left figure, the bisectors of <BCA, intersect each other at point O. If °, the 
(a) 30° 
(b) 20°
(c) 40° 
(d) 50°

Question: In the given above right sided figure, <2 and <8 are known as
(a) exterior angles
(b) exterior angles on the same side of transversal.
(c) alternate angles
(d) alternate exterior angles.

Question: In the given figure, measure of 
(a) 10.5° 
(b) 42°
(c) 111° 
(d) 50°

Question: An angle is 200 more than three times the given angle. If the two angles are supplementary the angles are
(a) 20° and 160° 
(b) 40° and 140°
(c) 60° and 120° 
(d) 70° and 110° 

Question: In figure, if l1 || l2, what is the value of x
(a) 90° 
(b) 85°
(c) 75° 
(d) 70°

Question: If a wheel has six spokes equally spaced, then the measure of the angle between two adjacent spokes is 
(a) 90° 
(b) 30°
(c) 60° 
(d) 180° 

Question: In figure, which of the following statements must be true? 
(i) a + b = d + c (ii) a + c + e = 180° (iii) b + f = c + e 
(a) (i) only
(b) (ii) only
(c) (iii) only
(d) (ii) and (iii) both

Question: The angle which is two times its complement is
(a) 60^° 
(b) 30^° 
(c) 45^° 
(d) 72^°

Question: The angle which is two times its supplement is 
(a) 150° 
(b) 60°
(c) 90° 
(d) 120°

Question: If lines AB, AC, AD and AE are parallel to a line l, then_________.

a) A, B, C, D, E are collinear points

b) A, B, C, D, E are noncollinear points

c) AB and AC are parallel and AD and AE are perpendicular

d) none of these

Answer: A, B, C, D, E are collinear points

Question: If two lines are perpendicular to the third line, then those two lines are

a) parallel to each other

b) neither parallel nor perpendicular

c) perpendicular to each other

d) either parallel or perpendicular

Answer: parallel to each other

Question: IF ABCD is a quadrilateral and E, F, G, H are the midpoints of AB< BC, CD and DA respectively, then EFGH is a

a) parallelogram

b) square

c) rectangle

d) rhombus

Answer: parallelogram