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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 53 · 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 angles are supplementary. One is 112° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 58°. What is the angle next to it on the same line (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One angle is 148°. What is its corresponding angle (in degrees)?
  4. 4.Two angles are supplementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the supplement of 115° (in degrees)?
  6. 6.Are 16° and 134° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  7. 7.Two straight lines cross each other. One of the angles formed is 79°. What is the angle next to it on the same line (in degrees)?
  8. 8.What is the supplement of 104° (in degrees)?
  9. 9.What is the complement of 51° (in degrees)?
  10. 10.What is the supplement of 121° (in degrees)?
  11. 11.What is the complement of 76° (in degrees)?
  12. 12.Are 57° and 123° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 137°. What is its other interior angle on the same side of the transversal (in degrees)?
  14. 14.What is the supplement of 127° (in degrees)?
  15. 15.Are 70° and 34° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  16. 16.Two angles are supplementary. One is 86° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two angles are supplementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the supplement of 7° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 20°. What is the angle vertically opposite to it (in degrees)?
  20. 20.What is the supplement of 122° (in degrees)?
  21. 21.Are 61° and 119° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  22. 22.What is the complement of 21° (in degrees)?
  23. 23.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  24. 24.Are 61° and 29° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  25. 25.Are 35° and 152° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  26. 26.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the complement of 24° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 149°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 44°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 132°. What is its other interior angle on the same side of the transversal (in degrees)?
  32. 32.Are 25° and 103° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  33. 33.Two straight lines cross each other. One of the angles formed is 46°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 51°. What is its alternate interior angle (in degrees)?
  35. 35.What is the supplement of 147° (in degrees)?
  36. 36.What is the complement of 45° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 134°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.Are 17° and 168° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  39. 39.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the complement of 46° (in degrees)?

Answer key

  1. 146
  2. 122
  3. 148
  4. 109
  5. 65
  6. Neither
  7. 101
  8. 76
  9. 39
  10. 59
  11. 14
  12. Supplementary
  13. 43
  14. 53
  15. Neither
  16. 133
  17. 101
  18. 173
  19. 20
  20. 58
  21. Supplementary
  22. 69
  23. 103
  24. Complementary
  25. Neither
  26. 72
  27. 55
  28. 66
  29. 149
  30. 44
  31. 48
  32. Neither
  33. 46
  34. 51
  35. 33
  36. 45
  37. 46
  38. Neither
  39. 54
  40. 44

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