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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 693 · 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 81° (in degrees)?
  2. 2.Are 32° and 58° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  3. 3.What is the complement of 45° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 95°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Are 15° and 165° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  6. 6.Two straight lines cross each other. One of the angles formed is 134°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 22°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 74°. What is the angle next to it on the same line (in degrees)?
  10. 10.What is the complement of 51° (in degrees)?
  11. 11.What is the supplement of 147° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its alternate interior angle (in degrees)?
  13. 13.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?
  14. 14.Are 37° and 143° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 55°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.What is the supplement of 68° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 142°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.What is the supplement of 39° (in degrees)?
  19. 19.Are 16° and 74° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  20. 20.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)?
  21. 21.What is the complement of 38° (in degrees)?
  22. 22.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)?
  23. 23.Two straight lines cross each other. One of the angles formed is 86°. What is the angle vertically opposite to it (in degrees)?
  24. 24.What is the complement of 9° (in degrees)?
  25. 25.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the complement of 37° (in degrees)?
  27. 27.What is the supplement of 99° (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 160°. What is the angle vertically opposite to it (in degrees)?
  29. 29.What is the complement of 6° (in degrees)?
  30. 30.Are 23° and 67° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  31. 31.What is the complement of 20° (in degrees)?
  32. 32.What is the complement of 48° (in degrees)?
  33. 33.Are 77° and 13° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  34. 34.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two angles are supplementary. One is 130° more than the other. What is the bigger angle (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 30°. What is the angle next to it on the same line (in degrees)?
  38. 38.Two angles are complementary. One is 10° 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 56°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One angle is 135°. What is its corresponding angle (in degrees)?

Answer key

  1. 9
  2. Complementary
  3. 45
  4. 95
  5. Supplementary
  6. 134
  7. 22
  8. 54
  9. 106
  10. 39
  11. 33
  12. 57
  13. 157
  14. Supplementary
  15. 125
  16. 112
  17. 38
  18. 141
  19. Complementary
  20. 85
  21. 52
  22. 104
  23. 86
  24. 81
  25. 107
  26. 53
  27. 81
  28. 160
  29. 84
  30. Complementary
  31. 70
  32. 42
  33. Complementary
  34. 61
  35. 65
  36. 155
  37. 150
  38. 50
  39. 56
  40. 135

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