1. Two angles form a linear pair. One angle is (3x + 15)° and the other is (2x − 5)°. The value of x is:
A) 20
B) 25
C) 30
D) 35
2. If two complementary angles are in the ratio 2 : 7, the smaller angle is:
A) 18°
B) 20°
C) 25°
D) 30°
3. Two supplementary angles differ by 40°. The larger angle is:
A) 100°
B) 110°
C) 120°
D) 130°
4. If one angle is 25% of a straight angle, its measure is:
A) 30°
B) 40°
C) 45°
D) 50°
5. In a triangle, the angles are (x + 10)°, (2x − 10)° and (x + 20)°. The value of x is:
A) 30
B) 40
C) 50
D) 60
6. The angles of a triangle are in the ratio 1 : 2 : 3. The smallest angle is:
A) 20°
B) 30°
C) 40°
D) 60°
7. Two angles are vertically opposite. If one angle is (4x − 20)° and the other is (2x + 40)°, find x:
A) 20
B) 25
C) 30
D) 35
8. The sum of three angles around a point is 360°. If two angles are 110° and 135°, the third angle is:
A) 95°
B) 105°
C) 115°
D) 125°
9. One angle of a triangle is twice the smallest angle and the third angle is 30° more than the smallest angle. The smallest angle is:
A) 20°
B) 25°
C) 30°
D) 35°
10. In an isosceles triangle, each base angle is (x + 10)° and the vertex angle is (2x − 20)°. Find x:
A) 30
B) 35
C) 40
D) 45
11. Two adjacent angles on a straight line are in the ratio 5 : 7. The larger angle is:
A) 90°
B) 100°
C) 105°
D) 120°
12. If one angle is 15° less than twice another angle and they are supplementary, the larger angle is:
A) 105°
B) 110°
C) 115°
D) 120°
13. The angles of a triangle are (x − 5)°, (x + 5)°, (x + 15)°. The value of x is:
A) 45
B) 50
C) 55
D) 60
14. If two complementary angles differ by 30°, the smaller angle is:
A) 15°
B) 20°
C) 25°
D) 30°
15. The reflex angle corresponding to 110° is:
A) 240°
B) 250°
C) 260°
D) 270°
16. In a triangle, one angle is 60° and the other two angles are equal. Each of the equal angles is:
A) 50°
B) 55°
C) 60°
D) 65°
17. Two angles are in the ratio 3 : 5 and their sum is 128°. The smaller angle is:
A) 42°
B) 48°
C) 54°
D) 60°
18. The angles around a point are in the ratio 1 : 2 : 3 : 4. The largest angle is:
A) 90°
B) 108°
C) 120°
D) 144°
19. If an angle is 40° more than half of a straight angle, its measure is:
A) 110°
B) 120°
C) 130°
D) 140°
20. One angle of a triangle is 35°. If the other two angles are in the ratio 4 : 5, the larger angle is:
A) 60°
B) 65°
C) 70°
D) 75°
21. Two angles form a linear pair and are in the ratio 7 : 11. The smaller angle is:
A) 60°
B) 70°
C) 75°
D) 80°
22. In an isosceles triangle, the vertex angle is 20° more than each base angle. Each base angle is:
A) 40°
B) 45°
C) 50°
D) 55°
23. If the exterior angle of a triangle is 120°, the sum of the two interior opposite angles is:
A) 60°
B) 90°
C) 100°
D) 120°
24. The angles of a triangle are x°, (x + 20)°, (2x − 20)°. Find x:
A) 35
B) 40
C) 45
D) 50
25. Two supplementary angles are in the ratio 9 : 11. The larger angle is:
A) 90°
B) 99°
C) 108°
D) 120°
26. If three angles of a quadrilateral are 90°, 110°, and 85°, the fourth angle is:
A) 65°
B) 75°
C) 85°
D) 95°
27. An angle is 3/5 of a right angle. Its measure is:
A) 36°
B) 45°
C) 54°
D) 60°
28. If the interior angles of a triangle are in the ratio 2 : 3 : 7, the largest angle is:
A) 70°
B) 80°
C) 90°
D) 105°
29. Two angles are equal and their sum is 140°. Each angle is:
A) 60°
B) 65°
C) 70°
D) 75°
30. The sum of two angles is 180°. If one angle is 4 times the other, the larger angle is:
A) 120°
B) 135°
C) 144°
D) 150°