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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 944 · 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 straight lines cross each other. One of the angles formed is 41°. What is the angle next to it on the same line (in degrees)?
  2. 2.What is the supplement of 82° (in degrees)?
  3. 3.What is the supplement of 55° (in degrees)?
  4. 4.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the complement of 11° (in degrees)?
  6. 6.What is the supplement of 18° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One angle is 45°. What is its corresponding angle (in degrees)?
  8. 8.What is the complement of 62° (in degrees)?
  9. 9.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  10. 10.What is the complement of 36° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 36°. What is the angle next to it on the same line (in degrees)?
  12. 12.Are 31° and 149° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  13. 13.Two straight lines cross each other. One of the angles formed is 40°. What is the angle next to it on the same line (in degrees)?
  14. 14.Are 43° and 160° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  15. 15.Are 63° and 117° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  16. 16.What is the supplement of 80° (in degrees)?
  17. 17.Are 70° and 20° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  18. 18.What is the supplement of 113° (in degrees)?
  19. 19.Are 13° and 77° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  20. 20.Are 45° and 154° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  21. 21.Are 25° and 155° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 64°. What is its alternate interior angle (in degrees)?
  23. 23.What is the supplement of 140° (in degrees)?
  24. 24.What is the complement of 38° (in degrees)?
  25. 25.What is the complement of 17° (in degrees)?
  26. 26.What is the supplement of 170° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 49°. What is its alternate interior angle (in degrees)?
  28. 28.What is the supplement of 90° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One angle is 88°. What is its corresponding angle (in degrees)?
  30. 30.What is the complement of 58° (in degrees)?
  31. 31.What is the supplement of 17° (in degrees)?
  32. 32.What is the supplement of 44° (in degrees)?
  33. 33.What is the supplement of 162° (in degrees)?
  34. 34.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)?
  35. 35.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 67°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.Are 24° and 156° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.Two straight lines cross each other. One of the angles formed is 134°. What is the angle next to it on the same line (in degrees)?
  39. 39.Are 42° and 48° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  40. 40.Two straight lines cross each other. One of the angles formed is 160°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 139
  2. 98
  3. 125
  4. 99
  5. 79
  6. 162
  7. 45
  8. 28
  9. 56
  10. 54
  11. 144
  12. Supplementary
  13. 140
  14. Neither
  15. Supplementary
  16. 100
  17. Complementary
  18. 67
  19. Complementary
  20. Neither
  21. Supplementary
  22. 64
  23. 40
  24. 52
  25. 73
  26. 10
  27. 49
  28. 90
  29. 88
  30. 32
  31. 163
  32. 136
  33. 18
  34. 135
  35. 143
  36. 113
  37. Supplementary
  38. 46
  39. Complementary
  40. 20

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