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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 799 · 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.Are 65° and 115° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  2. 2.Two angles are supplementary. One is 74° more than the other. What is the bigger angle (in degrees)?
  3. 3.Are 54° and 126° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 45°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.Are 11° and 79° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  6. 6.Are 66° and 122° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  7. 7.Two straight lines cross each other. One of the angles formed is 60°. What is the angle next to it on the same line (in degrees)?
  8. 8.Are 45° and 45° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  9. 9.What is the complement of 48° (in degrees)?
  10. 10.What is the supplement of 104° (in degrees)?
  11. 11.Are 72° and 18° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  12. 12.What is the complement of 27° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 137°. What is its other interior angle on the same side of the transversal (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 46°. What is the angle next to it on the same line (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 117°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.What is the complement of 26° (in degrees)?
  17. 17.What is the supplement of 122° (in degrees)?
  18. 18.What is the supplement of 152° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 105°. What is its alternate interior angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 47°. What is its alternate interior angle (in degrees)?
  21. 21.What is the complement of 72° (in degrees)?
  22. 22.Are 23° and 67° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  23. 23.Two straight lines cross each other. One of the angles formed is 148°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 102°. What is the angle next to it on the same line (in degrees)?
  25. 25.What is the complement of 34° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 64°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 76°. What is the angle next to it on the same line (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 33°. What is the angle vertically opposite to it (in degrees)?
  29. 29.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the complement of 51° (in degrees)?
  31. 31.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the complement of 36° (in degrees)?
  33. 33.Are 22° and 68° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its alternate interior angle (in degrees)?
  35. 35.What is the complement of 52° (in degrees)?
  36. 36.Are 60° and 30° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  37. 37.Two straight lines cross each other. One of the angles formed is 85°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Are 20° and 70° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  39. 39.What is the supplement of 93° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 71°. What is its other interior angle on the same side of the transversal (in degrees)?

Answer key

  1. Supplementary
  2. 127
  3. Supplementary
  4. 135
  5. Complementary
  6. Neither
  7. 120
  8. Complementary
  9. 42
  10. 76
  11. Complementary
  12. 63
  13. 43
  14. 134
  15. 63
  16. 64
  17. 58
  18. 28
  19. 105
  20. 47
  21. 18
  22. Complementary
  23. 148
  24. 78
  25. 56
  26. 64
  27. 104
  28. 33
  29. 70
  30. 39
  31. 57
  32. 54
  33. Complementary
  34. 60
  35. 38
  36. Complementary
  37. 85
  38. Complementary
  39. 87
  40. 109

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