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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 119 · 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 41° (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 115°. What is its corresponding angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One angle is 65°. What is its corresponding angle (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 96°. What is its alternate interior angle (in degrees)?
  5. 5.What is the supplement of 21° (in degrees)?
  6. 6.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  7. 7.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)?
  8. 8.Two angles are supplementary. One is 102° more than the other. What is the bigger angle (in degrees)?
  9. 9.Are 17° and 73° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  10. 10.Two parallel lines are cut by a transversal. One angle is 102°. What is its corresponding angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 102°. What is its alternate interior angle (in degrees)?
  12. 12.Are 44° and 136° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  13. 13.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 135°. What is the angle next to it on the same line (in degrees)?
  15. 15.What is the supplement of 121° (in degrees)?
  16. 16.What is the complement of 25° (in degrees)?
  17. 17.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the complement of 58° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 47°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.What is the complement of 64° (in degrees)?
  22. 22.What is the supplement of 84° (in degrees)?
  23. 23.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)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 133°. What is its alternate interior angle (in degrees)?
  25. 25.What is the complement of 62° (in degrees)?
  26. 26.What is the complement of 15° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 83°. What is its alternate interior angle (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 137°. What is the angle next to it on the same line (in degrees)?
  29. 29.What is the supplement of 155° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.What is the supplement of 64° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 97°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Two angles are supplementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the complement of 49° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 117°. What is the angle next to it on the same line (in degrees)?
  36. 36.Are 30° and 60° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  37. 37.Are 13° and 77° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  38. 38.What is the supplement of 65° (in degrees)?
  39. 39.What is the complement of 38° (in degrees)?
  40. 40.Are 54° and 48° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary

Answer key

  1. 49
  2. 115
  3. 65
  4. 96
  5. 159
  6. 54
  7. 104
  8. 141
  9. Complementary
  10. 102
  11. 102
  12. Supplementary
  13. 59
  14. 45
  15. 59
  16. 65
  17. 50
  18. 55
  19. 32
  20. 133
  21. 26
  22. 96
  23. 145
  24. 133
  25. 28
  26. 75
  27. 83
  28. 43
  29. 25
  30. 120
  31. 116
  32. 97
  33. 92
  34. 41
  35. 63
  36. Complementary
  37. Complementary
  38. 115
  39. 52
  40. Neither

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