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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 369 · 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.Two parallel lines are cut by a transversal. One interior angle is 122°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.What is the supplement of 24° (in degrees)?
  3. 3.Are 36° and 136° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  4. 4.What is the supplement of 35° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 50°. What is its alternate interior angle (in degrees)?
  6. 6.Are 26° and 64° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  7. 7.Two straight lines cross each other. One of the angles formed is 82°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two angles are supplementary. One is 140° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 61°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Are 27° and 153° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  12. 12.Are 39° and 141° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  13. 13.What is the supplement of 30° (in degrees)?
  14. 14.What is the complement of 32° (in degrees)?
  15. 15.What is the complement of 76° (in degrees)?
  16. 16.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two angles are supplementary. One is 114° more than the other. What is the bigger angle (in degrees)?
  18. 18.Are 76° and 14° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  19. 19.What is the complement of 78° (in degrees)?
  20. 20.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 27°. What is the angle next to it on the same line (in degrees)?
  22. 22.What is the complement of 22° (in degrees)?
  23. 23.What is the supplement of 120° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 128°. What is its alternate interior angle (in degrees)?
  25. 25.What is the complement of 75° (in degrees)?
  26. 26.Are 10° and 80° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  27. 27.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)?
  28. 28.What is the supplement of 50° (in degrees)?
  29. 29.Are 17° and 73° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  30. 30.Are 61° and 29° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  31. 31.Are 58° and 120° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  32. 32.What is the complement of 36° (in degrees)?
  33. 33.Are 75° and 105° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 97°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.What is the complement of 82° (in degrees)?
  36. 36.What is the supplement of 7° (in degrees)?
  37. 37.What is the complement of 20° (in degrees)?
  38. 38.Are 50° and 40° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  39. 39.Two straight lines cross each other. One of the angles formed is 45°. What is the angle next to it on the same line (in degrees)?
  40. 40.What is the supplement of 116° (in degrees)?

Answer key

  1. 58
  2. 156
  3. Neither
  4. 145
  5. 50
  6. Complementary
  7. 82
  8. 48
  9. 160
  10. 61
  11. Supplementary
  12. Supplementary
  13. 150
  14. 58
  15. 14
  16. 56
  17. 147
  18. Complementary
  19. 12
  20. 55
  21. 153
  22. 68
  23. 60
  24. 128
  25. 15
  26. Complementary
  27. 106
  28. 130
  29. Complementary
  30. Complementary
  31. Neither
  32. 54
  33. Supplementary
  34. 83
  35. 8
  36. 173
  37. 70
  38. Complementary
  39. 135
  40. 64

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