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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 898 · 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 angle is 85°. What is its corresponding angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 64°. What is its corresponding angle (in degrees)?
  3. 3.What is the complement of 21° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 79°. What is the angle next to it on the same line (in degrees)?
  5. 5.What is the complement of 58° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 51°. What is its corresponding angle (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 39°. What is the angle next to it on the same line (in degrees)?
  8. 8.What is the complement of 32° (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its alternate interior angle (in degrees)?
  10. 10.Two angles are supplementary. One is 82° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the complement of 48° (in degrees)?
  12. 12.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the supplement of 25° (in degrees)?
  14. 14.Are 18° and 72° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  15. 15.What is the supplement of 105° (in degrees)?
  16. 16.What is the supplement of 32° (in degrees)?
  17. 17.Are 76° and 5° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 30°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 104°. What is its corresponding angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 49°. What is its corresponding angle (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 149°. What is its alternate interior angle (in degrees)?
  22. 22.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 115°. What is its corresponding angle (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 71°. What is its alternate interior angle (in degrees)?
  25. 25.What is the supplement of 62° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 78°. What is its alternate interior angle (in degrees)?
  27. 27.What is the supplement of 95° (in degrees)?
  28. 28.What is the complement of 26° (in degrees)?
  29. 29.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)?
  30. 30.What is the supplement of 55° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 31°. What is the angle next to it on the same line (in degrees)?
  32. 32.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 146°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 95°. What is its alternate interior angle (in degrees)?
  36. 36.Are 10° and 170° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  37. 37.What is the complement of 78° (in degrees)?
  38. 38.Are 15° and 165° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  39. 39.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the supplement of 85° (in degrees)?

Answer key

  1. 85
  2. 64
  3. 69
  4. 101
  5. 32
  6. 51
  7. 141
  8. 58
  9. 118
  10. 131
  11. 42
  12. 55
  13. 155
  14. Complementary
  15. 75
  16. 148
  17. Neither
  18. 150
  19. 104
  20. 49
  21. 149
  22. 59
  23. 115
  24. 71
  25. 118
  26. 78
  27. 85
  28. 64
  29. 33
  30. 125
  31. 149
  32. 57
  33. 146
  34. 70
  35. 95
  36. Supplementary
  37. 12
  38. Supplementary
  39. 52
  40. 95

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