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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 981 · 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 parallel lines are cut by a transversal. One interior angle is 143°. What is its alternate interior angle (in degrees)?
  2. 2.What is the complement of 69° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 127°. What is the angle vertically opposite to it (in degrees)?
  4. 4.What is the supplement of 33° (in degrees)?
  5. 5.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  6. 6.Are 62° and 100° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  7. 7.What is the supplement of 133° (in degrees)?
  8. 8.What is the supplement of 60° (in degrees)?
  9. 9.What is the complement of 51° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 50°. What is its corresponding angle (in degrees)?
  11. 11.What is the complement of 57° (in degrees)?
  12. 12.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the complement of 80° (in degrees)?
  15. 15.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 94°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Are 34° and 146° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  18. 18.Are 23° and 67° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  19. 19.Are 49° and 17° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  20. 20.What is the complement of 84° (in degrees)?
  21. 21.What is the supplement of 18° (in degrees)?
  22. 22.Are 17° and 73° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  23. 23.Are 71° and 19° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 49°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.Two angles are complementary. One is 4° 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 70°. What is the angle next to it on the same line (in degrees)?
  27. 27.Are 56° and 124° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  28. 28.What is the complement of 39° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 97°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 85°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its alternate interior angle (in degrees)?
  32. 32.What is the supplement of 38° (in degrees)?
  33. 33.Are 35° and 55° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  34. 34.What is the supplement of 157° (in degrees)?
  35. 35.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the complement of 67° (in degrees)?
  37. 37.Are 57° and 123° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  38. 38.What is the complement of 20° (in degrees)?
  39. 39.Are 66° and 24° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  40. 40.What is the supplement of 129° (in degrees)?

Answer key

  1. 143
  2. 21
  3. 127
  4. 147
  5. 50
  6. Neither
  7. 47
  8. 120
  9. 39
  10. 50
  11. 33
  12. 143
  13. 52
  14. 10
  15. 91
  16. 94
  17. Supplementary
  18. Complementary
  19. Neither
  20. 6
  21. 162
  22. Complementary
  23. Complementary
  24. 131
  25. 47
  26. 110
  27. Supplementary
  28. 51
  29. 97
  30. 95
  31. 110
  32. 142
  33. Complementary
  34. 23
  35. 58
  36. 23
  37. Supplementary
  38. 70
  39. Complementary
  40. 51

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