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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 143 · 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.Are 50° and 40° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  2. 2.What is the complement of 53° (in degrees)?
  3. 3.What is the supplement of 123° (in degrees)?
  4. 4.Two angles are complementary. One is 6° 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 71°. 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 angle is 150°. What is its corresponding angle (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 87°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Are 40° and 140° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 45°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the supplement of 169° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 87°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.What is the supplement of 126° (in degrees)?
  14. 14.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  15. 15.Are 29° and 113° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 121°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.Two angles are supplementary. One is 72° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the complement of 83° (in degrees)?
  19. 19.What is the complement of 50° (in degrees)?
  20. 20.What is the complement of 19° (in degrees)?
  21. 21.Two angles are supplementary. One is 140° more than the other. What is the bigger angle (in degrees)?
  22. 22.Are 33° and 147° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  23. 23.What is the supplement of 161° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 140°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.What is the complement of 84° (in degrees)?
  26. 26.Two angles are supplementary. One is 90° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 160°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 138°. What is its corresponding angle (in degrees)?
  29. 29.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)?
  30. 30.Two straight lines cross each other. One of the angles formed is 23°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 103°. What is the angle next to it on the same line (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 124°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.What is the complement of 80° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 66°. What is the angle next to it on the same line (in degrees)?
  35. 35.What is the supplement of 120° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 152°. What is the angle vertically opposite to it (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 54°. What is its alternate interior angle (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 26°. What is the angle next to it on the same line (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 56°. What is the angle next to it on the same line (in degrees)?
  40. 40.Two angles are supplementary. One is 100° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. Complementary
  2. 37
  3. 57
  4. 48
  5. 109
  6. 150
  7. 87
  8. Supplementary
  9. 135
  10. 47
  11. 11
  12. 93
  13. 54
  14. 151
  15. Neither
  16. 59
  17. 126
  18. 7
  19. 40
  20. 71
  21. 160
  22. Supplementary
  23. 19
  24. 40
  25. 6
  26. 135
  27. 160
  28. 138
  29. 83
  30. 23
  31. 77
  32. 56
  33. 10
  34. 114
  35. 60
  36. 152
  37. 54
  38. 154
  39. 124
  40. 140

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