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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 359 · 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 68° (in degrees)?
  2. 2.What is the supplement of 160° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 119°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 34°. What is the angle next to it on the same line (in degrees)?
  5. 5.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 90°. What is its corresponding angle (in degrees)?
  7. 7.Are 79° and 101° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  8. 8.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One angle is 61°. What is its corresponding angle (in degrees)?
  12. 12.Are 21° and 159° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  13. 13.What is the complement of 61° (in degrees)?
  14. 14.What is the supplement of 138° (in degrees)?
  15. 15.Are 24° and 66° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  16. 16.Two parallel lines are cut by a transversal. One angle is 142°. What is its corresponding angle (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 109°. What is its alternate interior angle (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 138°. What is its alternate interior angle (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 80°. What is its other interior angle on the same side of the transversal (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 135°. What is its corresponding angle (in degrees)?
  21. 21.What is the supplement of 174° (in degrees)?
  22. 22.What is the complement of 40° (in degrees)?
  23. 23.Are 58° and 32° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  24. 24.Are 23° and 67° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  25. 25.Are 75° and 72° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  26. 26.What is the supplement of 74° (in degrees)?
  27. 27.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  28. 28.Are 16° and 74° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  29. 29.Two angles are supplementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two angles are supplementary. One is 84° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 125°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Are 56° and 34° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.What is the supplement of 157° (in degrees)?
  36. 36.What is the supplement of 166° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 67°. What is its alternate interior angle (in degrees)?
  38. 38.What is the supplement of 38° (in degrees)?
  39. 39.Are 62° and 118° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  40. 40.Two straight lines cross each other. One of the angles formed is 97°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 22
  2. 20
  3. 119
  4. 146
  5. 63
  6. 90
  7. Supplementary
  8. 49
  9. 50
  10. 52
  11. 61
  12. Supplementary
  13. 29
  14. 42
  15. Complementary
  16. 142
  17. 109
  18. 138
  19. 100
  20. 135
  21. 6
  22. 50
  23. Complementary
  24. Complementary
  25. Neither
  26. 106
  27. 48
  28. Complementary
  29. 125
  30. 103
  31. 132
  32. 125
  33. Complementary
  34. 120
  35. 23
  36. 14
  37. 67
  38. 142
  39. Supplementary
  40. 97

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