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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 630 · 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.Are 34° and 55° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  2. 2.Two parallel lines are cut by a transversal. One angle is 92°. What is its corresponding angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 63°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.What is the supplement of 171° (in degrees)?
  5. 5.Are 26° and 64° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  6. 6.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 33°. What is the angle next to it on the same line (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 157°. What is the angle next to it on the same line (in degrees)?
  9. 9.What is the complement of 38° (in degrees)?
  10. 10.What is the supplement of 127° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 21°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 71°. What is its alternate interior angle (in degrees)?
  13. 13.Are 36° and 39° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 106°. What is its other interior angle on the same side of the transversal (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 125°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 99°. What is its corresponding angle (in degrees)?
  17. 17.What is the supplement of 172° (in degrees)?
  18. 18.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the supplement of 7° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 66°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 75°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Are 61° and 10° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  23. 23.What is the complement of 46° (in degrees)?
  24. 24.What is the complement of 75° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 54°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  27. 27.What is the supplement of 97° (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 34°. What is the angle next to it on the same line (in degrees)?
  30. 30.What is the complement of 7° (in degrees)?
  31. 31.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the complement of 79° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 69°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Are 41° and 49° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  35. 35.What is the supplement of 153° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 117°. What is the angle vertically opposite to it (in degrees)?
  37. 37.What is the complement of 73° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 156°. What is the angle vertically opposite to it (in degrees)?
  39. 39.What is the supplement of 68° (in degrees)?
  40. 40.What is the supplement of 22° (in degrees)?

Answer key

  1. Neither
  2. 92
  3. 117
  4. 9
  5. Complementary
  6. 61
  7. 147
  8. 23
  9. 52
  10. 53
  11. 21
  12. 71
  13. Neither
  14. 74
  15. 125
  16. 99
  17. 8
  18. 52
  19. 173
  20. 66
  21. 75
  22. Neither
  23. 44
  24. 15
  25. 126
  26. 57
  27. 83
  28. 89
  29. 146
  30. 83
  31. 60
  32. 11
  33. 69
  34. Complementary
  35. 27
  36. 117
  37. 17
  38. 156
  39. 112
  40. 158

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