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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 408 · 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 25° and 40° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  2. 2.What is the supplement of 12° (in degrees)?
  3. 3.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)?
  4. 4.Two straight lines cross each other. One of the angles formed is 109°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Are 57° and 51° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  6. 6.Two straight lines cross each other. One of the angles formed is 114°. What is the angle vertically opposite to it (in degrees)?
  7. 7.What is the complement of 21° (in degrees)?
  8. 8.What is the supplement of 69° (in degrees)?
  9. 9.Are 19° and 161° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  10. 10.Two straight lines cross each other. One of the angles formed is 83°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 33°. What is its alternate interior angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 114°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.What is the supplement of 82° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 82°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Are 80° and 100° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  16. 16.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  17. 17.Are 36° and 54° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  18. 18.Two straight lines cross each other. One of the angles formed is 28°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Are 74° and 16° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  20. 20.What is the supplement of 39° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 61°. What is the angle next to it on the same line (in degrees)?
  22. 22.Two angles are supplementary. One is 72° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 131°. What is its corresponding angle (in degrees)?
  24. 24.Are 73° and 41° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  25. 25.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 40°. What is its corresponding angle (in degrees)?
  27. 27.What is the supplement of 153° (in degrees)?
  28. 28.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two angles are supplementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 158° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 135°. What is its other interior angle on the same side of the transversal (in degrees)?
  32. 32.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)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 39°. What is its corresponding angle (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 72°. What is the angle next to it on the same line (in degrees)?
  35. 35.What is the complement of 60° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 148°. What is the angle vertically opposite to it (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 60°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 38°. What is its corresponding angle (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 145°. What is its alternate interior angle (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 118°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. Neither
  2. 168
  3. 63
  4. 109
  5. Neither
  6. 114
  7. 69
  8. 111
  9. Supplementary
  10. 83
  11. 33
  12. 66
  13. 98
  14. 82
  15. Supplementary
  16. 55
  17. Complementary
  18. 28
  19. Complementary
  20. 141
  21. 119
  22. 126
  23. 131
  24. Neither
  25. 66
  26. 40
  27. 27
  28. 64
  29. 125
  30. 22
  31. 45
  32. 22
  33. 39
  34. 108
  35. 30
  36. 148
  37. 60
  38. 38
  39. 145
  40. 118

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