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

(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

(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°
Detailed Solution : https://9.mathsteacher.in/2025/05/200525.html
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°