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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 471 · 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 114° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the complement of 15° (in degrees)?
  4. 4.What is the complement of 5° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 144°. What is its other interior angle on the same side of the transversal (in degrees)?
  6. 6.Are 68° and 22° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  7. 7.Two angles are supplementary. One is 96° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 128°. What is its other interior angle on the same side of the transversal (in degrees)?
  9. 9.Are 71° and 19° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  10. 10.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One angle is 92°. What is its corresponding angle (in degrees)?
  12. 12.Are 18° and 162° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  13. 13.What is the supplement of 34° (in degrees)?
  14. 14.What is the complement of 40° (in degrees)?
  15. 15.What is the supplement of 77° (in degrees)?
  16. 16.Are 61° and 119° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  17. 17.What is the supplement of 46° (in degrees)?
  18. 18.What is the supplement of 152° (in degrees)?
  19. 19.What is the complement of 45° (in degrees)?
  20. 20.Are 13° and 163° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  21. 21.Two straight lines cross each other. One of the angles formed is 51°. What is the angle next to it on the same line (in degrees)?
  22. 22.Are 30° and 60° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  23. 23.What is the complement of 48° (in degrees)?
  24. 24.Two angles are supplementary. One is 90° more than the other. What is the bigger angle (in degrees)?
  25. 25.Are 11° and 79° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  26. 26.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 115°. What is its alternate interior angle (in degrees)?
  28. 28.Are 42° and 126° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  29. 29.Two straight lines cross each other. One of the angles formed is 138°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One angle is 109°. What is its corresponding angle (in degrees)?
  31. 31.Are 76° and 104° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  32. 32.What is the supplement of 74° (in degrees)?
  33. 33.Are 11° and 169° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  34. 34.What is the supplement of 23° (in degrees)?
  35. 35.Are 57° and 67° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  36. 36.Two straight lines cross each other. One of the angles formed is 110°. What is the angle vertically opposite to it (in degrees)?
  37. 37.Are 32° and 118° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.Are 55° and 156° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  39. 39.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 29°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 147
  2. 91
  3. 75
  4. 85
  5. 36
  6. Complementary
  7. 138
  8. 52
  9. Complementary
  10. 72
  11. 92
  12. Supplementary
  13. 146
  14. 50
  15. 103
  16. Supplementary
  17. 134
  18. 28
  19. 45
  20. Neither
  21. 129
  22. Complementary
  23. 42
  24. 135
  25. Complementary
  26. 62
  27. 115
  28. Neither
  29. 138
  30. 109
  31. Supplementary
  32. 106
  33. Supplementary
  34. 157
  35. Neither
  36. 110
  37. Neither
  38. Neither
  39. 57
  40. 151

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