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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 215 · 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 38° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 42°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 127°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 152°. What is the angle next to it on the same line (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One angle is 116°. What is its corresponding angle (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 93°. What is the angle next to it on the same line (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 101°. What is the angle next to it on the same line (in degrees)?
  8. 8.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the complement of 52° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 150°. What is its corresponding angle (in degrees)?
  11. 11.Are 60° and 30° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  12. 12.Two angles are supplementary. One is 110° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One angle is 50°. What is its corresponding angle (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 42°. What is its alternate interior angle (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 107°. What is the angle next to it on the same line (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 101°. What is its corresponding angle (in degrees)?
  17. 17.Are 21° and 69° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  18. 18.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  19. 19.Are 19° and 60° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  20. 20.Are 80° and 32° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  21. 21.Are 35° and 145° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  22. 22.Are 27° and 153° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  23. 23.What is the complement of 79° (in degrees)?
  24. 24.Two angles are supplementary. One is 112° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 159°. What is the angle next to it on the same line (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 33°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 83°. What is its alternate interior angle (in degrees)?
  28. 28.Two angles are supplementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  29. 29.Are 30° and 60° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  30. 30.Two parallel lines are cut by a transversal. One angle is 140°. What is its corresponding angle (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 97°. What is the angle next to it on the same line (in degrees)?
  32. 32.What is the complement of 53° (in degrees)?
  33. 33.Are 68° and 22° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  34. 34.What is the supplement of 23° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 158°. What is the angle next to it on the same line (in degrees)?
  36. 36.What is the complement of 67° (in degrees)?
  37. 37.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  38. 38.Are 11° and 73° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  39. 39.What is the complement of 16° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 51°. What is its alternate interior angle (in degrees)?

Answer key

  1. 52
  2. 42
  3. 127
  4. 28
  5. 116
  6. 87
  7. 79
  8. 68
  9. 38
  10. 150
  11. Complementary
  12. 145
  13. 50
  14. 42
  15. 73
  16. 101
  17. Complementary
  18. 53
  19. Neither
  20. Neither
  21. Supplementary
  22. Supplementary
  23. 11
  24. 146
  25. 21
  26. 33
  27. 83
  28. 92
  29. Complementary
  30. 140
  31. 83
  32. 37
  33. Complementary
  34. 157
  35. 22
  36. 23
  37. 110
  38. Neither
  39. 74
  40. 51

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