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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 175 · 40 sums
TalentJR

The method (90, 180, equal): Complement of a = 90 − a. Supplement of a = 180 − a. Lines crossing: vertically opposite angles are equal; a linear pair adds up to 180°. Parallel lines: corresponding angles equal, alternate interior angles equal, interior angles on the same side add up to 180°. One angle d° more than the other: bigger = (total + d) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.What is the supplement of 172° (in degrees)?
  2. 2.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  3. 3.Are 46° and 44° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  4. 4.Two parallel lines are cut by a transversal. One angle is 96°. What is its corresponding angle (in degrees)?
  5. 5.What is the supplement of 159° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its alternate interior angle (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 105°. What is the angle next to it on the same line (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 127°. What is the angle next to it on the same line (in degrees)?
  9. 9.What is the complement of 61° (in degrees)?
  10. 10.Are 77° and 13° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  11. 11.Two parallel lines are cut by a transversal. One angle is 78°. What is its corresponding angle (in degrees)?
  12. 12.Are 27° and 42° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  13. 13.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 40°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 61°. What is the angle next to it on the same line (in degrees)?
  16. 16.What is the complement of 32° (in degrees)?
  17. 17.Are 11° and 169° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  18. 18.What is the complement of 23° (in degrees)?
  19. 19.What is the supplement of 123° (in degrees)?
  20. 20.What is the supplement of 120° (in degrees)?
  21. 21.Are 34° and 56° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  22. 22.Are 68° and 22° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  23. 23.Two straight lines cross each other. One of the angles formed is 21°. What is the angle vertically opposite to it (in degrees)?
  24. 24.What is the complement of 63° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 101°. What is the angle next to it on the same line (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 92°. What is its other interior angle on the same side of the transversal (in degrees)?
  27. 27.What is the complement of 44° (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 64°. What is its corresponding angle (in degrees)?
  29. 29.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 75° (in degrees)?
  31. 31.What is the supplement of 30° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 75°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Two angles are supplementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 23°. What is the angle next to it on the same line (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 146°. What is the angle next to it on the same line (in degrees)?
  36. 36.What is the complement of 9° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 150°. What is the angle next to it on the same line (in degrees)?
  38. 38.Two angles are supplementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the supplement of 142° (in degrees)?

Answer key

  1. 8
  2. 118
  3. Complementary
  4. 96
  5. 21
  6. 91
  7. 75
  8. 53
  9. 29
  10. Complementary
  11. 78
  12. Neither
  13. 71
  14. 40
  15. 119
  16. 58
  17. Supplementary
  18. 67
  19. 57
  20. 60
  21. Complementary
  22. Complementary
  23. 21
  24. 27
  25. 79
  26. 88
  27. 46
  28. 64
  29. 47
  30. 105
  31. 150
  32. 75
  33. 120
  34. 157
  35. 34
  36. 81
  37. 30
  38. 124
  39. 53
  40. 38

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