Angles and Triangles Worksheet for Maths Olympiad

Maths Olympiad topic 21: Angles and triangles · Set 392 · 40 questions

How to solve it (180 is the magic number): The three angles of a triangle add up to 180°. An exterior angle equals the sum of the two interior angles opposite it. An isosceles triangle has two equal angles, opposite its two equal sides. Angles on a straight line add up to 180°; vertically opposite angles are equal.

1. 1.Two straight lines cross. Two vertically opposite angles add up to 100°. What is each of the other two angles? (a) 130° (b) 50° (c) 80° (d) 260°
2. 2.In an isosceles triangle, the angle between the two equal sides is 160°. What is each of the other two angles? (a) 20° (b) 11° (c) 10° (d) 160°
3. 3.Two angles of a triangle are 65° and 40°. What is the exterior angle at the third corner? (a) 115° (b) 105° (c) 75° (d) 140°
4. 4.Two angles of a triangle are 70° and 40°. What is the exterior angle at the third corner? (a) 70° (b) 110° (c) 250° (d) 140°
5. 5.Two angles of a triangle are 70° and 35°. What is the third angle? (a) 145° (b) 110° (c) 105° (d) 75°
6. 6.Two angles of a triangle are 30° and 90°. What is the exterior angle at the third corner? (a) 150° (b) 60° (c) 90° (d) 120°
7. 7.Two angles of a triangle are 75° and 30°. What is the exterior angle at the third corner? (a) 255° (b) 75° (c) 105° (d) 150°
8. 8.In an isosceles triangle, the angle between the two equal sides is 30°. What is each of the other two angles? (a) 30° (b) 75° (c) 60° (d) 150°
9. 9.Two angles of a triangle are 80° and 60°. What is the third angle? (a) 40° (b) 100° (c) 140° (d) 120°
10. 10.Two straight lines cross. One of the angles is 80°. What is the angle next to it on the same straight line? (a) 280° (b) 80° (c) 10° (d) 100°
11. 11.Two angles of a triangle are 35° and 80°. What is the exterior angle at the third corner? (a) 100° (b) 115° (c) 65° (d) 145°
12. 12.Two angles of a triangle are 55° and 40°. What is the third angle? (a) 125° (b) 95° (c) 140° (d) 85°
13. 13.Two straight lines cross. Two vertically opposite angles add up to 330°. What is each of the other two angles? (a) 16° (b) 30° (c) 165° (d) 15°
14. 14.Two angles of a triangle are 30° and 115°. What is the third angle? (a) 65° (b) 150° (c) 35° (d) 145°
15. 15.In an isosceles triangle, the two equal angles are 70° each. What is the third angle? (a) 70° (b) 110° (c) 20° (d) 40°
16. 16.Two angles of a triangle are 25° and 90°. What is the exterior angle at the third corner? (a) 115° (b) 90° (c) 155° (d) 65°
17. 17.Two angles of a triangle are 50° and 25°. What is the exterior angle at the third corner? (a) 105° (b) 155° (c) 75° (d) 130°
18. 18.In an isosceles triangle, the angle between the two equal sides is 40°. What is each of the other two angles? (a) 70° (b) 50° (c) 40° (d) 140°
19. 19.Two angles of a triangle are 35° and 20°. What is the third angle? (a) 160° (b) 55° (c) 125° (d) 145°
20. 20.Two straight lines cross. One of the angles is 145°. What is the angle next to it on the same straight line? (a) 145° (b) 215° (c) 36° (d) 35°
21. 21.Two angles of a triangle are 70° and 20°. What is the third angle? (a) 270° (b) 160° (c) 110° (d) 90°
22. 22.Two straight lines cross. Two vertically opposite angles add up to 280°. What is each of the other two angles? (a) 40° (b) 80° (c) 140° (d) 41°
23. 23.Two angles of a triangle are 45° and 85°. What is the third angle? (a) 50° (b) 130° (c) 135° (d) 95°
24. 24.Two straight lines cross. One of the angles is 25°. What is the angle next to it on the same straight line? (a) 155° (b) 65° (c) 335° (d) 25°
25. 25.Two straight lines cross. One of the angles is 95°. What is the angle next to it on the same straight line? (a) 265° (b) 86° (c) 85° (d) 95°
26. 26.In an isosceles triangle, the angle between the two equal sides is 120°. What is each of the other two angles? (a) 120° (b) 40° (c) 30° (d) 60°
27. 27.In an isosceles triangle, the two equal angles are 75° each. What is the third angle? (a) 75° (b) 15° (c) 30° (d) 105°
28. 28.Two angles of a triangle are 70° and 30°. What is the third angle? (a) 80° (b) 150° (c) 100° (d) 110°
29. 29.In an isosceles triangle, the angle between the two equal sides is 100°. What is each of the other two angles? (a) 100° (b) 40° (c) 80° (d) 50°
30. 30.Two angles of a triangle are 20° and 150°. What is the third angle? (a) 10° (b) 170° (c) 160° (d) 30°
31. 31.Two angles of a triangle are 45° and 50°. What is the third angle? (a) 85° (b) 130° (c) 95° (d) 135°
32. 32.In an isosceles triangle, the angle between the two equal sides is 140°. What is each of the other two angles? (a) 20° (b) 30° (c) 40° (d) 140°
33. 33.Two angles of a triangle are 40° and 55°. What is the exterior angle at the third corner? (a) 85° (b) 125° (c) 95° (d) 140°
34. 34.Two straight lines cross. Two vertically opposite angles add up to 250°. What is each of the other two angles? (a) 56° (b) 55° (c) 125° (d) 110°
35. 35.Two angles of a triangle are 70° and 50°. What is the third angle? (a) 130° (b) 60° (c) 120° (d) 110°
36. 36.Two angles of a triangle are 20° and 60°. What is the exterior angle at the third corner? (a) 160° (b) 80° (c) 120° (d) 100°
37. 37.Two angles of a triangle are 60° and 65°. What is the exterior angle at the third corner? (a) 115° (b) 55° (c) 125° (d) 120°
38. 38.Two angles of a triangle are 70° and 85°. What is the third angle? (a) 95° (b) 155° (c) 110° (d) 25°
39. 39.Two straight lines cross. One of the angles is 65°. What is the angle next to it on the same straight line? (a) 115° (b) 25° (c) 65° (d) 295°
40. 40.Two angles of a triangle are 45° and 50°. What is the exterior angle at the third corner? (a) 85° (b) 130° (c) 135° (d) 95°

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad