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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 931 · 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 45°. What is the angle next to it on the same line (in degrees)?
  2. 2.What is the supplement of 110° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 82°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 143°. What is its corresponding angle (in degrees)?
  5. 5.What is the complement of 59° (in degrees)?
  6. 6.What is the supplement of 77° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 106°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 67°. What is its corresponding angle (in degrees)?
  9. 9.What is the complement of 62° (in degrees)?
  10. 10.Are 67° and 23° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  11. 11.What is the complement of 13° (in degrees)?
  12. 12.What is the complement of 71° (in degrees)?
  13. 13.Are 54° and 28° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  14. 14.What is the complement of 19° (in degrees)?
  15. 15.Are 80° and 49° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 127°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.What is the complement of 23° (in degrees)?
  18. 18.Are 37° and 54° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  19. 19.Two straight lines cross each other. One of the angles formed is 125°. What is the angle next to it on the same line (in degrees)?
  20. 20.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the complement of 79° (in degrees)?
  22. 22.Are 49° and 77° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  23. 23.What is the supplement of 137° (in degrees)?
  24. 24.What is the complement of 38° (in degrees)?
  25. 25.Are 60° and 123° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  26. 26.What is the complement of 83° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 64°. What is its alternate interior angle (in degrees)?
  28. 28.What is the supplement of 40° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 117°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.What is the supplement of 59° (in degrees)?
  31. 31.Two angles are supplementary. One is 98° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 53°. What is its corresponding angle (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 31°. What is the angle next to it on the same line (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 136°. What is its alternate interior angle (in degrees)?
  36. 36.What is the supplement of 147° (in degrees)?
  37. 37.Are 68° and 129° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 43°. What is its other interior angle on the same side of the transversal (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 70°. What is its alternate interior angle (in degrees)?
  40. 40.Are 10° and 80° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary

Answer key

  1. 135
  2. 70
  3. 82
  4. 143
  5. 31
  6. 103
  7. 106
  8. 67
  9. 28
  10. Complementary
  11. 77
  12. 19
  13. Neither
  14. 71
  15. Neither
  16. 53
  17. 67
  18. Neither
  19. 55
  20. 73
  21. 11
  22. Neither
  23. 43
  24. 52
  25. Neither
  26. 7
  27. 64
  28. 140
  29. 63
  30. 121
  31. 139
  32. 53
  33. 53
  34. 149
  35. 136
  36. 33
  37. Neither
  38. 137
  39. 70
  40. Complementary

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