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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 63 · 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 60°. What is its alternate interior angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its other interior angle on the same side of the transversal (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 71°. What is its alternate interior angle (in degrees)?
  4. 4.Are 11° and 79° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  5. 5.Two parallel lines are cut by a transversal. One angle is 143°. What is its corresponding angle (in degrees)?
  6. 6.What is the complement of 77° (in degrees)?
  7. 7.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 5° (in degrees)?
  9. 9.What is the supplement of 58° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 152°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 102°. What is its alternate interior angle (in degrees)?
  12. 12.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 28°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its alternate interior angle (in degrees)?
  15. 15.Are 60° and 30° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  16. 16.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  17. 17.Are 69° and 111° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  18. 18.What is the complement of 50° (in degrees)?
  19. 19.What is the complement of 59° (in degrees)?
  20. 20.Are 73° and 107° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.What is the supplement of 163° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 134°. What is the angle vertically opposite to it (in degrees)?
  24. 24.What is the supplement of 7° (in degrees)?
  25. 25.Are 27° and 113° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  26. 26.Are 26° and 154° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  27. 27.What is the supplement of 35° (in degrees)?
  28. 28.What is the supplement of 99° (in degrees)?
  29. 29.What is the supplement of 31° (in degrees)?
  30. 30.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  31. 31.What is the supplement of 116° (in degrees)?
  32. 32.What is the complement of 21° (in degrees)?
  33. 33.What is the supplement of 74° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 58°. What is its alternate interior angle (in degrees)?
  35. 35.What is the complement of 30° (in degrees)?
  36. 36.What is the supplement of 151° (in degrees)?
  37. 37.What is the complement of 49° (in degrees)?
  38. 38.What is the supplement of 54° (in degrees)?
  39. 39.What is the supplement of 70° (in degrees)?
  40. 40.What is the supplement of 118° (in degrees)?

Answer key

  1. 60
  2. 123
  3. 71
  4. Complementary
  5. 143
  6. 13
  7. 72
  8. 85
  9. 122
  10. 152
  11. 102
  12. 67
  13. 28
  14. 111
  15. Complementary
  16. 91
  17. Supplementary
  18. 40
  19. 31
  20. Supplementary
  21. 120
  22. 17
  23. 134
  24. 173
  25. Neither
  26. Supplementary
  27. 145
  28. 81
  29. 149
  30. 99
  31. 64
  32. 69
  33. 106
  34. 58
  35. 60
  36. 29
  37. 41
  38. 126
  39. 110
  40. 62

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