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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 922 · 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 complement of 10° (in degrees)?
  2. 2.What is the complement of 84° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 69°. What is the angle next to it on the same line (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 143°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.Are 52° and 128° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  6. 6.Two angles are supplementary. One is 78° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the complement of 32° (in degrees)?
  8. 8.Are 28° and 152° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  9. 9.Two straight lines cross each other. One of the angles formed is 125°. What is the angle vertically opposite to it (in degrees)?
  10. 10.What is the supplement of 55° (in degrees)?
  11. 11.What is the supplement of 125° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One angle is 108°. What is its corresponding angle (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One angle is 40°. What is its corresponding angle (in degrees)?
  14. 14.What is the complement of 18° (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 58°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 31°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Are 17° and 73° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  18. 18.Are 32° and 148° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  19. 19.Two straight lines cross each other. One of the angles formed is 94°. What is the angle next to it on the same line (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its alternate interior angle (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 51°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the supplement of 45° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 77°. What is its alternate interior angle (in degrees)?
  25. 25.Are 36° and 152° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  26. 26.Two parallel lines are cut by a transversal. One angle is 149°. What is its corresponding angle (in degrees)?
  27. 27.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two angles are supplementary. One is 80° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  31. 31.Are 65° and 25° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  32. 32.Two straight lines cross each other. One of the angles formed is 79°. What is the angle next to it on the same line (in degrees)?
  33. 33.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the supplement of 136° (in degrees)?
  35. 35.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)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 135°. What is its alternate interior angle (in degrees)?
  37. 37.Are 77° and 13° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  38. 38.What is the complement of 42° (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 89°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Are 45° and 135° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary

Answer key

  1. 80
  2. 6
  3. 111
  4. 37
  5. Supplementary
  6. 129
  7. 58
  8. Supplementary
  9. 125
  10. 125
  11. 55
  12. 108
  13. 40
  14. 72
  15. 58
  16. 31
  17. Complementary
  18. Supplementary
  19. 86
  20. 56
  21. 51
  22. 79
  23. 135
  24. 77
  25. Neither
  26. 149
  27. 157
  28. 130
  29. 56
  30. 57
  31. Complementary
  32. 101
  33. 152
  34. 44
  35. 109
  36. 135
  37. Complementary
  38. 48
  39. 89
  40. Supplementary

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