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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 86 · 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 supplement of 64° (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 31°. What is its corresponding angle (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.What is the complement of 67° (in degrees)?
  5. 5.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the complement of 82° (in degrees)?
  7. 7.What is the complement of 25° (in degrees)?
  8. 8.Two angles are supplementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 61°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.What is the complement of 66° (in degrees)?
  11. 11.Are 36° and 54° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  12. 12.Two straight lines cross each other. One of the angles formed is 76°. What is the angle next to it on the same line (in degrees)?
  13. 13.Are 49° and 59° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 76°. What is its alternate interior angle (in degrees)?
  15. 15.What is the supplement of 27° (in degrees)?
  16. 16.What is the complement of 69° (in degrees)?
  17. 17.What is the complement of 7° (in degrees)?
  18. 18.What is the supplement of 102° (in degrees)?
  19. 19.What is the supplement of 36° (in degrees)?
  20. 20.Are 45° and 135° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  21. 21.What is the complement of 36° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 71°. What is its alternate interior angle (in degrees)?
  23. 23.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the supplement of 65° (in degrees)?
  25. 25.What is the supplement of 80° (in degrees)?
  26. 26.Two angles are supplementary. One is 108° more than the other. What is the bigger angle (in degrees)?
  27. 27.Are 32° and 39° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  28. 28.What is the supplement of 15° (in degrees)?
  29. 29.What is the complement of 64° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 149°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.What is the supplement of 125° (in degrees)?
  32. 32.Are 70° and 110° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  33. 33.Are 75° and 15° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  34. 34.What is the supplement of 48° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 66°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.Are 55° and 129° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  37. 37.Are 58° and 32° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  38. 38.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 104°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 103°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 116
  2. 31
  3. 111
  4. 23
  5. 157
  6. 8
  7. 65
  8. 120
  9. 119
  10. 24
  11. Complementary
  12. 104
  13. Neither
  14. 76
  15. 153
  16. 21
  17. 83
  18. 78
  19. 144
  20. Supplementary
  21. 54
  22. 71
  23. 49
  24. 115
  25. 100
  26. 144
  27. Neither
  28. 165
  29. 26
  30. 31
  31. 55
  32. Supplementary
  33. Complementary
  34. 132
  35. 114
  36. Neither
  37. Complementary
  38. 108
  39. 104
  40. 103

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