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Lines and Angles (MCQs)

1.) In Fig, if AB || CD || EF, PQ || RS, ∠RQD = 25° and ∠CQP = 60°, then ∠QRS is equal to

(A) 85° 
(B) 135° 
(C) 145° 
(D) 110°

2.) If one angle of a triangle is equal to the sum of the other two angles, then the triangle is

(A) an isosceles triangle
(B) an obtuse triangle
(C) an equilateral triangle
(D) a right triangle

3.) An exterior angle of a triangle is 105° and its two interior opposite angles are equal. Each of these equal angles is

(A) 37.5°

(B) 52.5°

(C) 72.5°

(D) 75°

4.) The angles of a triangle are in the ratio 5 : 3 : 7. The triangle is
(A) an acute angled triangle
(B) an obtuse angled triangle
(C) a right triangle
(D) an isosceles triangl


5.) If one of the angles of a triangle is 130°, then the angle between the bisectors of the other two angles can be

(A) 50°
(B) 65°
(C) 145°
(D) 155°

6.) In Fig, POQ is a line. The value of x is


(A) 20° 
(B) 25° 
(C) 30° 
(D) 35°


7.) In figure, if OP||RS, ∠OPQ=110° and ∠QRS=130°, then ∠PQR is equal to 



(A) 40°
(B) 50°
(C) 60°
(D) 70° 

8.) Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is
(A) 60°
(B) 40°
(C) 80°
(D) 20°


9.) If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2:3, then the greater of the two angles is

(A) 54° 
(B) 108° 
(C) 120° 
(D) 136°


10.) For which value of x the lines l and m will be parallel.


(A) 90°
(B) 180°
(C) 45°
(D) 136°

Answer Keys

1.) (C) 145°
2.) (D) a right triangle
3.) (B) 52.5°
4.) (A) an acute angled triangle
5.) (D) 155°
6.) (A) 20° 
7.) (C) 60°
8.) (B) 40°
9.) (B) 108°
10.) (D) 136°