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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 910 · 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.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  2. 2.Are 16° and 164° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  3. 3.Are 20° and 70° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  4. 4.What is the complement of 64° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 148°. What is the angle next to it on the same line (in degrees)?
  6. 6.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the supplement of 99° (in degrees)?
  9. 9.What is the supplement of 165° (in degrees)?
  10. 10.Are 11° and 164° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  11. 11.What is the complement of 22° (in degrees)?
  12. 12.What is the supplement of 166° (in degrees)?
  13. 13.Are 62° and 161° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  14. 14.Two parallel lines are cut by a transversal. One angle is 41°. What is its corresponding angle (in degrees)?
  15. 15.What is the complement of 69° (in degrees)?
  16. 16.What is the supplement of 88° (in degrees)?
  17. 17.What is the complement of 20° (in degrees)?
  18. 18.What is the complement of 26° (in degrees)?
  19. 19.What is the complement of 51° (in degrees)?
  20. 20.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 52°. What is its alternate interior angle (in degrees)?
  22. 22.What is the supplement of 82° (in degrees)?
  23. 23.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  24. 24.Are 27° and 63° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  25. 25.Two parallel lines are cut by a transversal. One angle is 64°. What is its corresponding angle (in degrees)?
  26. 26.What is the complement of 38° (in degrees)?
  27. 27.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 46°. What is the angle next to it on the same line (in degrees)?
  29. 29.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  30. 30.Are 69° and 97° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  31. 31.Two parallel lines are cut by a transversal. One angle is 120°. What is its corresponding angle (in degrees)?
  32. 32.What is the supplement of 20° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 29°. What is the angle next to it on the same line (in degrees)?
  34. 34.Are 78° and 58° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  35. 35.What is the supplement of 134° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 58°. What is the angle vertically opposite to it (in degrees)?
  37. 37.Are 42° and 138° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.What is the complement of 74° (in degrees)?
  39. 39.Are 12° and 78° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  40. 40.What is the complement of 31° (in degrees)?

Answer key

  1. 70
  2. Supplementary
  3. Complementary
  4. 26
  5. 32
  6. 107
  7. 46
  8. 81
  9. 15
  10. Neither
  11. 68
  12. 14
  13. Neither
  14. 41
  15. 21
  16. 92
  17. 70
  18. 64
  19. 39
  20. 98
  21. 52
  22. 98
  23. 61
  24. Complementary
  25. 64
  26. 52
  27. 97
  28. 134
  29. 58
  30. Neither
  31. 120
  32. 160
  33. 151
  34. Neither
  35. 46
  36. 58
  37. Supplementary
  38. 16
  39. Complementary
  40. 59

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