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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 951 · 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 straight lines cross each other. One of the angles formed is 91°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Are 69° and 111° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  3. 3.Two angles are supplementary. One is 136° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 21°. What is the angle next to it on the same line (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 153°. What is the angle next to it on the same line (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 45°. What is its corresponding angle (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 136°. What is its alternate interior angle (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 35°. What is its corresponding angle (in degrees)?
  9. 9.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  10. 10.What is the supplement of 51° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 140°. What is the angle next to it on the same line (in degrees)?
  12. 12.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One angle is 33°. What is its corresponding angle (in degrees)?
  14. 14.Are 21° and 85° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  15. 15.Are 69° and 85° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  16. 16.Are 74° and 106° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  17. 17.Two angles are supplementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 31°. What is the angle vertically opposite to it (in degrees)?
  19. 19.What is the complement of 79° (in degrees)?
  20. 20.Are 45° and 135° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  21. 21.What is the supplement of 157° (in degrees)?
  22. 22.Are 51° and 129° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 70°. What is its other interior angle on the same side of the transversal (in degrees)?
  24. 24.What is the supplement of 45° (in degrees)?
  25. 25.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 143°. What is its corresponding angle (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 127°. What is the angle next to it on the same line (in degrees)?
  28. 28.Are 34° and 168° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 87°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.Are 23° and 13° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  31. 31.What is the complement of 23° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One angle is 97°. What is its corresponding angle (in degrees)?
  33. 33.Are 14° and 76° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  34. 34.What is the supplement of 100° (in degrees)?
  35. 35.What is the supplement of 33° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 147°. What is the angle next to it on the same line (in degrees)?
  37. 37.What is the complement of 81° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 60°. What is its corresponding angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 28°. What is the angle next to it on the same line (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One angle is 94°. What is its corresponding angle (in degrees)?

Answer key

  1. 91
  2. Supplementary
  3. 158
  4. 159
  5. 27
  6. 45
  7. 136
  8. 35
  9. 105
  10. 129
  11. 40
  12. 55
  13. 33
  14. Neither
  15. Neither
  16. Supplementary
  17. 120
  18. 31
  19. 11
  20. Supplementary
  21. 23
  22. Supplementary
  23. 110
  24. 135
  25. 157
  26. 143
  27. 53
  28. Neither
  29. 93
  30. Neither
  31. 67
  32. 97
  33. Complementary
  34. 80
  35. 147
  36. 33
  37. 9
  38. 60
  39. 152
  40. 94

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