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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 863 · 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 39° (in degrees)?
  2. 2.What is the supplement of 40° (in degrees)?
  3. 3.What is the supplement of 129° (in degrees)?
  4. 4.What is the supplement of 55° (in degrees)?
  5. 5.What is the complement of 64° (in degrees)?
  6. 6.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the supplement of 125° (in degrees)?
  8. 8.Are 66° and 24° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  9. 9.Are 27° and 153° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  10. 10.What is the complement of 12° (in degrees)?
  11. 11.Are 24° and 156° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 94°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.Are 67° and 23° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  14. 14.What is the complement of 25° (in degrees)?
  15. 15.Are 42° and 113° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  16. 16.Two angles are supplementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 133°. What is the angle next to it on the same line (in degrees)?
  18. 18.Two angles are supplementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 36°. What is its alternate interior angle (in degrees)?
  20. 20.What is the complement of 27° (in degrees)?
  21. 21.What is the supplement of 138° (in degrees)?
  22. 22.Are 17° and 91° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  23. 23.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)?
  24. 24.Two straight lines cross each other. One of the angles formed is 90°. What is the angle next to it on the same line (in degrees)?
  25. 25.Are 33° and 147° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  26. 26.Two angles are supplementary. One is 122° 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 78°. What is its alternate interior angle (in degrees)?
  28. 28.What is the supplement of 147° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One angle is 102°. What is its corresponding angle (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One angle is 115°. What is its corresponding angle (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 98°. What is its corresponding angle (in degrees)?
  32. 32.Are 49° and 15° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  33. 33.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  34. 34.Are 74° and 106° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 58°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.What is the complement of 15° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 121°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 79°. What is its corresponding angle (in degrees)?
  39. 39.What is the supplement of 151° (in degrees)?
  40. 40.Two angles are supplementary. One is 100° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 51
  2. 140
  3. 51
  4. 125
  5. 26
  6. 65
  7. 55
  8. Complementary
  9. Supplementary
  10. 78
  11. Supplementary
  12. 86
  13. Complementary
  14. 65
  15. Neither
  16. 96
  17. 47
  18. 101
  19. 36
  20. 63
  21. 42
  22. Neither
  23. 33
  24. 90
  25. Supplementary
  26. 151
  27. 78
  28. 33
  29. 102
  30. 115
  31. 98
  32. Neither
  33. 79
  34. Supplementary
  35. 122
  36. 75
  37. 121
  38. 79
  39. 29
  40. 140

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