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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 418 · 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 angle is 124°. What is its corresponding angle (in degrees)?
  2. 2.What is the supplement of 36° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 101°. What is its alternate interior angle (in degrees)?
  4. 4.What is the complement of 72° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 97°. What is the angle vertically opposite to it (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 121°. What is its alternate interior angle (in degrees)?
  7. 7.What is the complement of 35° (in degrees)?
  8. 8.What is the supplement of 63° (in degrees)?
  9. 9.What is the complement of 74° (in degrees)?
  10. 10.Two angles are supplementary. One is 114° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One angle is 45°. What is its corresponding angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 116°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.Are 26° and 145° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  14. 14.Two straight lines cross each other. One of the angles formed is 33°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the supplement of 27° (in degrees)?
  16. 16.What is the complement of 53° (in degrees)?
  17. 17.What is the complement of 30° (in degrees)?
  18. 18.Are 38° and 52° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  19. 19.What is the complement of 14° (in degrees)?
  20. 20.What is the complement of 38° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 75°. What is its alternate interior angle (in degrees)?
  22. 22.Are 44° and 67° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 52°. What is its alternate interior angle (in degrees)?
  24. 24.Are 23° and 67° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  25. 25.Two angles are supplementary. One is 78° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  27. 27.Are 43° and 137° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  28. 28.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  29. 29.Are 80° and 100° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  30. 30.Two straight lines cross each other. One of the angles formed is 136°. What is the angle vertically opposite to it (in degrees)?
  31. 31.What is the complement of 5° (in degrees)?
  32. 32.Are 53° and 127° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  33. 33.What is the supplement of 112° (in degrees)?
  34. 34.Are 26° and 64° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  35. 35.What is the supplement of 111° (in degrees)?
  36. 36.What is the supplement of 104° (in degrees)?
  37. 37.What is the supplement of 50° (in degrees)?
  38. 38.Two angles are supplementary. One is 76° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 117°. What is its alternate interior angle (in degrees)?
  40. 40.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 124
  2. 144
  3. 101
  4. 18
  5. 97
  6. 121
  7. 55
  8. 117
  9. 16
  10. 147
  11. 45
  12. 64
  13. Neither
  14. 33
  15. 153
  16. 37
  17. 60
  18. Complementary
  19. 76
  20. 52
  21. 75
  22. Neither
  23. 52
  24. Complementary
  25. 129
  26. 57
  27. Supplementary
  28. 66
  29. Supplementary
  30. 136
  31. 85
  32. Supplementary
  33. 68
  34. Complementary
  35. 69
  36. 76
  37. 130
  38. 128
  39. 117
  40. 47

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