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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 125 · 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 angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 62°. What is the angle vertically opposite to it (in degrees)?
  4. 4.What is the complement of 15° (in degrees)?
  5. 5.What is the complement of 57° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 58°. What is its alternate interior angle (in degrees)?
  7. 7.What is the supplement of 125° (in degrees)?
  8. 8.Are 58° and 32° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  9. 9.What is the supplement of 74° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 36°. What is the angle next to it on the same line (in degrees)?
  11. 11.What is the complement of 31° (in degrees)?
  12. 12.Are 37° and 109° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  13. 13.What is the supplement of 142° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 66°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the complement of 48° (in degrees)?
  16. 16.Are 11° and 35° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 135°. What is its alternate interior angle (in degrees)?
  18. 18.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  19. 19.Are 24° and 156° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  20. 20.Are 14° and 76° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  21. 21.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 56°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 153°. What is the angle next to it on the same line (in degrees)?
  26. 26.What is the supplement of 114° (in degrees)?
  27. 27.Are 80° and 69° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  28. 28.What is the supplement of 56° (in degrees)?
  29. 29.What is the complement of 62° (in degrees)?
  30. 30.Two angles are supplementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 34°. What is its other interior angle on the same side of the transversal (in degrees)?
  32. 32.Are 20° and 160° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 71°. What is its alternate interior angle (in degrees)?
  34. 34.What is the complement of 85° (in degrees)?
  35. 35.What is the complement of 22° (in degrees)?
  36. 36.What is the complement of 32° (in degrees)?
  37. 37.What is the complement of 41° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 57°. What is its corresponding angle (in degrees)?
  39. 39.What is the supplement of 147° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 69°. What is its alternate interior angle (in degrees)?

Answer key

  1. 65
  2. 46
  3. 62
  4. 75
  5. 33
  6. 58
  7. 55
  8. Complementary
  9. 106
  10. 144
  11. 59
  12. Neither
  13. 38
  14. 66
  15. 42
  16. Neither
  17. 135
  18. 70
  19. Supplementary
  20. Complementary
  21. 77
  22. 110
  23. 56
  24. 68
  25. 27
  26. 66
  27. Neither
  28. 124
  29. 28
  30. 117
  31. 146
  32. Supplementary
  33. 71
  34. 5
  35. 68
  36. 58
  37. 49
  38. 57
  39. 33
  40. 69

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