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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 377 · 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 43° (in degrees)?
  2. 2.What is the supplement of 22° (in degrees)?
  3. 3.What is the complement of 30° (in degrees)?
  4. 4.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 97°. What is its other interior angle on the same side of the transversal (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 50°. What is its alternate interior angle (in degrees)?
  7. 7.What is the supplement of 134° (in degrees)?
  8. 8.What is the supplement of 38° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 26°. What is the angle vertically opposite to it (in degrees)?
  10. 10.What is the complement of 63° (in degrees)?
  11. 11.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  12. 12.What is the complement of 24° (in degrees)?
  13. 13.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  15. 15.Are 48° and 42° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  16. 16.What is the supplement of 87° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 87°. What is its alternate interior angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 147°. What is the angle next to it on the same line (in degrees)?
  19. 19.Are 57° and 33° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  20. 20.Two straight lines cross each other. One of the angles formed is 28°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Are 74° and 108° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  22. 22.Two straight lines cross each other. One of the angles formed is 150°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the complement of 85° (in degrees)?
  25. 25.What is the complement of 16° (in degrees)?
  26. 26.What is the complement of 55° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 83°. What is its alternate interior angle (in degrees)?
  28. 28.What is the complement of 18° (in degrees)?
  29. 29.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 94° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 136°. What is its corresponding angle (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 45°. What is the angle next to it on the same line (in degrees)?
  33. 33.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the complement of 31° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 86°. What is its corresponding angle (in degrees)?
  36. 36.What is the supplement of 155° (in degrees)?
  37. 37.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  38. 38.What is the complement of 27° (in degrees)?
  39. 39.What is the complement of 65° (in degrees)?
  40. 40.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 137
  2. 158
  3. 60
  4. 54
  5. 83
  6. 50
  7. 46
  8. 142
  9. 26
  10. 27
  11. 71
  12. 66
  13. 97
  14. 57
  15. Complementary
  16. 93
  17. 87
  18. 33
  19. Complementary
  20. 28
  21. Neither
  22. 150
  23. 107
  24. 5
  25. 74
  26. 35
  27. 83
  28. 72
  29. 50
  30. 86
  31. 136
  32. 135
  33. 65
  34. 59
  35. 86
  36. 25
  37. 63
  38. 63
  39. 25
  40. 55

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