Q1. In a triangle, the first angle is 40°. The second angle is 30° more than the first. Find the third angle.
A) 70° B) 80° C) 90° D) 110°
Q2. In a park, two walking paths meet and form an angle of 65°. The second path forms a linear angle with the first path. What is the measure of the second angle?
A) 35° B) 95° C) 115° D) 125°
Q3. A painter sets up a ladder forming a 68° angle with the ground. What is the angle between the ladder and the vertical wall?
A) 12° B) 22° C) 32° D) 90°
Q4. A clock shows 3:00 PM. What angle is formed between the hour and minute hand?
A) 60° B) 90° C) 75° D) 45°
Q5. At a construction site, two walls meet and form 90°. A worker places a plank that divides this corner into two angles in the ratio 1 : 2. The smaller angle is:
A) 20° B) 25° C) 30° D) 35°
Q6. In a triangle, one angle is twice the second angle, and the third angle is 40°. Find the smallest angle.
A) 20° B) 30° C) 40° D) 60°
Q7. In a quadrilateral-shaped garden, three angles measure 90°, 85°, and 110°. Find the fourth angle.
A) 65° B) 70° C) 75° D) 90°
Q8. A signboard pole makes an angle of 110° with the road. What is the vertical angle formed on the opposite side?
A) 110° B) 70° C) 55° D) 90°
Q9. In a triangle, angles are in the ratio 3 : 4 : 5. Find the smallest angle.
A) 30° B) 36° C) 42° D) 45°
Q10. A surveyor extends one side of a triangular plot and measures an exterior angle of 120°. If the opposite interior angles are equal, find each of them.
A) 45° B) 50° C) 60° D) 70°
Q11. A ladder forms 55° with the ground. What angle does it form with the wall?
A) 25° B) 35° C) 45° D) 90°
Q12. A triangular kite has angles 2x, x, and 40°. Find x.
A) 30° B) 40° C) 50° D) 70°
Q13. In a parallelogram-shaped table top, one angle is 120°. What is the adjacent angle?
A) 30° B) 50° C) 60° D) 120°
Q14. A spiral bridge makes a turn of 270°. How many degrees is left to make a full rotation?
A) 30° B) 60° C) 90° D) 180°
Q15. Three spotlight beams meet forming angles of 45° and 95°. What is the third angle?
A) 40° B) 50° C) 60° D) 65°
Q16. In a pizza slice, the corner angle is 30°. How many such slices make a full pizza?
A) 8 B) 10 C) 12 D) 6
Q17. A bridge support makes a right angle with the riverbank. A second support makes a 25° angle from the first. Find the angle between second support and riverbank.
A) 55° B) 65° C) 70° D) 75°
Q18. In a triangle, angle A = 3x, angle B = 4x, and angle C = 5x. Largest angle is:
A) 75° B) 80° C) 90° D) 100°
Q19. A regular octagon is painted on the floor of a sports arena. Each interior angle equals:
A) 108° B) 120° C) 135° D) 150°
Q20. A car turns at a road junction and rotates 90°. How much rotation is needed to face the original direction again?
A) 90° B) 180° C) 270° D) 360°
Q21. In a triangular warning sign, two angles are equal, and the third is 50°. Find the value of each equal angle.
A) 60° B) 65° C) 70° D) 75°
Q22. A ceiling fan rotates 3/4 of a full revolution. How many degrees has it rotated?
A) 180° B) 225° C) 270° D) 300°
Q23. Two opposite sides of a quadrilateral are parallel. One angle is 110°. The adjacent angle in that parallel side is:
A) 60° B) 70° C) 80° D) 90°
Q24. A straight road stretches forming a 180° path. A cyclist turns 45° left. What angle does he make with the previous direction?
A) 45° B) 90° C) 135° D) 180°
Q25. A rectangular billboard has one corner angle of 90°. The opposite corner angle is:
A) 45° B) 60° C) 90° D) 180°
Q26. A seesaw plank forms an angle of 35° with the ground. When lifted higher, the angle increases by 20°. Final angle =
A) 45° B) 50° C) 55° D) 65°
Q27. A car wheel turns 1/6 of a rotation. How many degrees has it turned?
A) 45° B) 60° C) 90° D) 120°
Q28. Angles on a straight road divider are in the ratio 4 : 5. Larger angle is:
A) 60° B) 80° C) 100° D) 120°
Q29. A swing makes an angle of 30° on one side and the same on the other. Total angle between both positions is:
A) 30° B) 45° C) 60° D) 90°
Q30. A clock shows 6:00. What is the angle between hour and minute hand?
A) 120° B) 150° C) 180° D) 90°
31. Two angles form a linear pair. One angle is 48°. What is the other angle?
A) 120° B) 132° C) 142° D) 180°
32. A right angle is split into two angles such that one angle is 35°. Find the second angle.
A) 45° B) 55° C) 65° D) 75°
33. In a parallelogram, one interior angle measures 110°. What is the measure of the adjacent angle?
A) 70° B) 90° C) 110° D) 130°
34. In a parallelogram, one angle is 65°. What is the opposite angle?
A) 115° B) 65° C) 105° D) 90°
35. The angles of a triangle are in the ratio 3 : 4 : 5. What is the smallest angle?
A) 45° B) 36° C) 54° D) 60°
36. A straight path makes an angle of 78° with another path. What is the linear pair angle?
A) 102° B) 112° C) 122° D) 90°
37. A regular pentagon has all interior angles equal. What is each interior angle?
A) 100° B) 108° C) 120° D) 140°
38. A complementary angle pair has one angle equal to 42°. Find the other angle.
A) 38° B) 48° C) 58° D) 32°
39. Two angles are supplementary. One angle is 2 times the other. Find the smaller one.
A) 45° B) 60° C) 50° D) 40°
40. In a parallelogram, one angle is 4x and its adjacent angle is (5x − 18). What is the value of x?
A) 18 B) 20 C) 24 D) 22
41. The exterior angle of a regular polygon is 30°. How many sides does the polygon have?
A) 8 B) 10 C) 12 D) 6
42. A right-angled triangle has one acute angle 29°. What is the other acute angle?
A) 51° B) 61° C) 71° D) 81°
43. The sum of two angles is 180°. One angle is 16° more than the other. What is the larger angle?
A) 96° B) 98° C) 100° D) 82°
44. In a polygon, the sum of interior angles is 900°. How many sides does it have?
A) 5 B) 6 C) 7 D) 8
45. Two angles are in the ratio 7 : 11 and are supplementary. What is the larger angle?
A) 77° B) 121° C) 143° D) 99°
46. Inside a parallelogram, the diagonal divides one angle into two equal parts. If the full angle is 128°, what does each part measure?
A) 62° B) 64° C) 56° D) 58°
47. A regular hexagon has all angles equal. What is the measure of each interior angle?
A) 120° B) 135° C) 140° D) 150°
48. If two angles form a pair of vertically opposite angles and one is 72°, find the other.
A) 72° B) 108° C) 118° D) 90°
49. The ratio of two complementary angles is 3 : 2. What is the measure of the smaller angle?
A) 36° B) 72° C) 30° D) 24°
50. In a polygon, each exterior angle is 45°. How many sides does it have?
A) 6 B) 8 C) 9 D) 7