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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 9 · 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 17° and 82° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  2. 2.What is the supplement of 145° (in degrees)?
  3. 3.Are 38° and 50° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  4. 4.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 60°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Two angles are supplementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 33° (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One angle is 58°. What is its corresponding angle (in degrees)?
  10. 10.What is the complement of 63° (in degrees)?
  11. 11.What is the complement of 5° (in degrees)?
  12. 12.What is the complement of 47° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 156°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 138°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Are 49° and 131° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 78°. What is its alternate interior angle (in degrees)?
  17. 17.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the complement of 30° (in degrees)?
  19. 19.What is the complement of 34° (in degrees)?
  20. 20.Two angles are supplementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 59°. What is the angle next to it on the same line (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 89°. What is the angle next to it on the same line (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 74°. What is the angle vertically opposite to it (in degrees)?
  25. 25.What is the complement of 37° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 95°. What is the angle next to it on the same line (in degrees)?
  27. 27.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the complement of 42° (in degrees)?
  29. 29.Are 54° and 36° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  30. 30.Two straight lines cross each other. One of the angles formed is 111°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  32. 32.Are 49° and 99° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  33. 33.Two angles are supplementary. One is 76° more than the other. What is the bigger angle (in degrees)?
  34. 34.Are 35° and 55° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  35. 35.Two straight lines cross each other. One of the angles formed is 83°. What is the angle vertically opposite to it (in degrees)?
  36. 36.What is the complement of 32° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 39°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.What is the supplement of 155° (in degrees)?
  39. 39.What is the supplement of 41° (in degrees)?
  40. 40.What is the supplement of 21° (in degrees)?

Answer key

  1. Neither
  2. 35
  3. Neither
  4. 77
  5. 46
  6. 60
  7. 92
  8. 57
  9. 58
  10. 27
  11. 85
  12. 43
  13. 156
  14. 138
  15. Supplementary
  16. 78
  17. 118
  18. 60
  19. 56
  20. 102
  21. 120
  22. 121
  23. 91
  24. 74
  25. 53
  26. 85
  27. 99
  28. 48
  29. Complementary
  30. 111
  31. 94
  32. Neither
  33. 128
  34. Complementary
  35. 83
  36. 58
  37. 141
  38. 25
  39. 139
  40. 159

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