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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 385 · 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 157° (in degrees)?
  2. 2.Two angles are supplementary. One is 140° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the supplement of 30° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 122°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 63°. What is the angle next to it on the same line (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 80°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 117°. 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 72°. What is the angle vertically opposite to it (in degrees)?
  9. 9.What is the supplement of 22° (in degrees)?
  10. 10.What is the complement of 36° (in degrees)?
  11. 11.What is the supplement of 134° (in degrees)?
  12. 12.What is the supplement of 89° (in degrees)?
  13. 13.What is the complement of 57° (in degrees)?
  14. 14.Are 64° and 26° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  15. 15.Two angles are complementary. One is 48° 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 40°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 59°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.What is the supplement of 126° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 149°. What is its alternate interior angle (in degrees)?
  20. 20.What is the complement of 68° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 43°. What is its alternate interior angle (in degrees)?
  22. 22.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  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 supplement of 151° (in degrees)?
  25. 25.What is the supplement of 108° (in degrees)?
  26. 26.What is the complement of 84° (in degrees)?
  27. 27.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  28. 28.Are 50° and 40° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  29. 29.Two straight lines cross each other. One of the angles formed is 133°. What is the angle vertically opposite to it (in degrees)?
  30. 30.What is the supplement of 163° (in degrees)?
  31. 31.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two angles are supplementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 124°. What is the angle vertically opposite to it (in degrees)?
  34. 34.What is the complement of 72° (in degrees)?
  35. 35.Two angles are supplementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 160°. What is the angle vertically opposite to it (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 104°. What is the angle vertically opposite to it (in degrees)?
  38. 38.What is the complement of 13° (in degrees)?
  39. 39.Are 64° and 116° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  40. 40.Two straight lines cross each other. One of the angles formed is 25°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 23
  2. 160
  3. 150
  4. 58
  5. 117
  6. 80
  7. 63
  8. 72
  9. 158
  10. 54
  11. 46
  12. 91
  13. 33
  14. Complementary
  15. 69
  16. 40
  17. 121
  18. 54
  19. 149
  20. 22
  21. 43
  22. 52
  23. 21
  24. 29
  25. 72
  26. 6
  27. 79
  28. Complementary
  29. 133
  30. 17
  31. 53
  32. 106
  33. 124
  34. 18
  35. 101
  36. 160
  37. 104
  38. 77
  39. Supplementary
  40. 155

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