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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 762 · 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 parallel lines are cut by a transversal. One interior angle is 32°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.What is the supplement of 144° (in degrees)?
  3. 3.What is the complement of 81° (in degrees)?
  4. 4.Are 32° and 148° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  5. 5.Are 57° and 156° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  6. 6.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the complement of 52° (in degrees)?
  8. 8.What is the supplement of 8° (in degrees)?
  9. 9.What is the supplement of 17° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 32°. What is the angle next to it on the same line (in degrees)?
  11. 11.Are 79° and 101° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  12. 12.What is the supplement of 28° (in degrees)?
  13. 13.Are 49° and 41° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  14. 14.Are 77° and 13° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  15. 15.Are 74° and 25° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  16. 16.Are 22° and 68° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  17. 17.Two angles are supplementary. One is 56° 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 21° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 65°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 131°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.Are 13° and 77° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  23. 23.What is the supplement of 129° (in degrees)?
  24. 24.What is the supplement of 45° (in degrees)?
  25. 25.What is the supplement of 150° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 42°. What is the angle vertically opposite to it (in degrees)?
  27. 27.What is the supplement of 89° (in degrees)?
  28. 28.What is the complement of 47° (in degrees)?
  29. 29.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One angle is 136°. What is its corresponding angle (in degrees)?
  31. 31.Two angles are complementary. One is 48° 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 92°. What is the angle next to it on the same line (in degrees)?
  33. 33.What is the complement of 83° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 39°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.Two angles are supplementary. One is 128° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  37. 37.What is the supplement of 73° (in degrees)?
  38. 38.What is the supplement of 153° (in degrees)?
  39. 39.What is the supplement of 6° (in degrees)?
  40. 40.What is the complement of 24° (in degrees)?

Answer key

  1. 148
  2. 36
  3. 9
  4. Supplementary
  5. Neither
  6. 57
  7. 38
  8. 172
  9. 163
  10. 148
  11. Supplementary
  12. 152
  13. Complementary
  14. Complementary
  15. Neither
  16. Complementary
  17. 118
  18. 31
  19. 69
  20. 65
  21. 49
  22. Complementary
  23. 51
  24. 135
  25. 30
  26. 42
  27. 91
  28. 43
  29. 76
  30. 136
  31. 69
  32. 88
  33. 7
  34. 141
  35. 154
  36. 77
  37. 107
  38. 27
  39. 174
  40. 66

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