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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 990 · 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 73°. What is its alternate interior angle (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 35°. What is the angle next to it on the same line (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 62°. What is the angle next to it on the same line (in degrees)?
  4. 4.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the supplement of 145° (in degrees)?
  6. 6.What is the supplement of 106° (in degrees)?
  7. 7.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)?
  8. 8.What is the supplement of 168° (in degrees)?
  9. 9.Are 68° and 140° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  10. 10.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  12. 12.What is the complement of 17° (in degrees)?
  13. 13.Are 28° and 62° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its other interior angle on the same side of the transversal (in degrees)?
  15. 15.Are 32° and 148° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  16. 16.What is the complement of 84° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 61°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.Two angles are supplementary. One is 38° 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 149°. What is its other interior angle on the same side of the transversal (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 94°. What is its corresponding angle (in degrees)?
  21. 21.What is the supplement of 103° (in degrees)?
  22. 22.What is the supplement of 26° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 51°. What is its alternate interior angle (in degrees)?
  24. 24.What is the complement of 43° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One angle is 33°. What is its corresponding angle (in degrees)?
  26. 26.What is the complement of 58° (in degrees)?
  27. 27.What is the supplement of 58° (in degrees)?
  28. 28.What is the complement of 42° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 51°. What is the angle next to it on the same line (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 30°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 24°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.Are 15° and 50° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  34. 34.What is the supplement of 50° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 44°. What is its corresponding angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 67°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.Are 13° and 77° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  38. 38.What is the complement of 15° (in degrees)?
  39. 39.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  40. 40.Are 75° and 99° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary

Answer key

  1. 73
  2. 145
  3. 118
  4. 103
  5. 35
  6. 74
  7. 78
  8. 12
  9. Neither
  10. 152
  11. 111
  12. 73
  13. Complementary
  14. 145
  15. Supplementary
  16. 6
  17. 119
  18. 109
  19. 31
  20. 94
  21. 77
  22. 154
  23. 51
  24. 47
  25. 33
  26. 32
  27. 122
  28. 48
  29. 129
  30. 30
  31. 24
  32. 124
  33. Neither
  34. 130
  35. 44
  36. 113
  37. Complementary
  38. 75
  39. 76
  40. Neither

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