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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 62 · 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 20° (in degrees)?
  2. 2.Two angles are supplementary. One is 108° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the supplement of 130° (in degrees)?
  4. 4.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  5. 5.Are 50° and 164° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  6. 6.Two straight lines cross each other. One of the angles formed is 113°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the supplement of 170° (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 72°. What is its alternate interior angle (in degrees)?
  10. 10.What is the supplement of 75° (in degrees)?
  11. 11.What is the supplement of 11° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 58°. What is the angle next to it on the same line (in degrees)?
  13. 13.What is the complement of 14° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 62°. What is its alternate interior angle (in degrees)?
  15. 15.What is the complement of 44° (in degrees)?
  16. 16.What is the complement of 77° (in degrees)?
  17. 17.Are 30° and 60° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  18. 18.What is the complement of 72° (in degrees)?
  19. 19.What is the supplement of 113° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 112°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two angles are supplementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 27°. What is the angle vertically opposite to it (in degrees)?
  23. 23.What is the supplement of 27° (in degrees)?
  24. 24.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 64°. What is the angle vertically opposite to it (in degrees)?
  27. 27.What is the complement of 38° (in degrees)?
  28. 28.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the complement of 73° (in degrees)?
  31. 31.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the complement of 78° (in degrees)?
  33. 33.Are 22° and 145° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  34. 34.What is the complement of 85° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 79°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.Are 42° and 48° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  37. 37.What is the complement of 18° (in degrees)?
  38. 38.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the supplement of 42° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 102°. What is its alternate interior angle (in degrees)?

Answer key

  1. 160
  2. 144
  3. 50
  4. 58
  5. Neither
  6. 113
  7. 78
  8. 10
  9. 72
  10. 105
  11. 169
  12. 122
  13. 76
  14. 62
  15. 46
  16. 13
  17. Complementary
  18. 18
  19. 67
  20. 112
  21. 106
  22. 27
  23. 153
  24. 67
  25. 118
  26. 64
  27. 52
  28. 115
  29. 79
  30. 17
  31. 152
  32. 12
  33. Neither
  34. 5
  35. 101
  36. Complementary
  37. 72
  38. 150
  39. 138
  40. 102

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