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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 162 · 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 supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  2. 2.Are 25° and 170° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 69°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  5. 5.Are 35° and 55° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  6. 6.Are 28° and 152° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  7. 7.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)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 37°. What is its alternate interior angle (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 126°. What is the angle next to it on the same line (in degrees)?
  10. 10.What is the supplement of 164° (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its alternate interior angle (in degrees)?
  12. 12.Are 34° and 70° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  13. 13.What is the complement of 76° (in degrees)?
  14. 14.Two angles are supplementary. One is 108° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the complement of 32° (in degrees)?
  16. 16.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 140°. What is the angle next to it on the same line (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 135°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Are 47° and 133° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  20. 20.Two straight lines cross each other. One of the angles formed is 35°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 59°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Are 20° and 70° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  23. 23.What is the supplement of 104° (in degrees)?
  24. 24.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the supplement of 155° (in degrees)?
  26. 26.Two angles are supplementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  27. 27.Are 26° and 154° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its alternate interior angle (in degrees)?
  29. 29.Two angles are supplementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 74° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 103°. What is its other interior angle on the same side of the transversal (in degrees)?
  32. 32.What is the complement of 52° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 121°. What is its corresponding angle (in degrees)?
  34. 34.What is the complement of 80° (in degrees)?
  35. 35.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 137°. What is its corresponding angle (in degrees)?
  37. 37.What is the complement of 75° (in degrees)?
  38. 38.Are 75° and 105° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  39. 39.Are 73° and 107° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  40. 40.Two parallel lines are cut by a transversal. One angle is 127°. What is its corresponding angle (in degrees)?

Answer key

  1. 143
  2. Neither
  3. 111
  4. 77
  5. Complementary
  6. Supplementary
  7. 31
  8. 37
  9. 54
  10. 16
  11. 130
  12. Neither
  13. 14
  14. 144
  15. 58
  16. 49
  17. 40
  18. 135
  19. Supplementary
  20. 35
  21. 59
  22. Complementary
  23. 76
  24. 91
  25. 25
  26. 109
  27. Supplementary
  28. 57
  29. 117
  30. 106
  31. 77
  32. 38
  33. 121
  34. 10
  35. 73
  36. 137
  37. 15
  38. Supplementary
  39. Supplementary
  40. 127

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