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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 363 · 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 straight lines cross each other. One of the angles formed is 156°. What is the angle next to it on the same line (in degrees)?
  2. 2.Are 36° and 112° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  3. 3.Are 33° and 147° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  4. 4.Two straight lines cross each other. One of the angles formed is 155°. What is the angle next to it on the same line (in degrees)?
  5. 5.What is the complement of 9° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 47°. What is its alternate interior angle (in degrees)?
  7. 7.Are 16° and 74° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  8. 8.What is the complement of 41° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 152°. What is the angle next to it on the same line (in degrees)?
  10. 10.What is the complement of 7° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 26°. What is the angle next to it on the same line (in degrees)?
  12. 12.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 67°. What is its alternate interior angle (in degrees)?
  14. 14.Are 58° and 160° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  15. 15.Two straight lines cross each other. One of the angles formed is 104°. What is the angle next to it on the same line (in degrees)?
  16. 16.Are 14° and 76° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  17. 17.What is the complement of 17° (in degrees)?
  18. 18.Are 56° and 34° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  19. 19.What is the supplement of 90° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 50°. What is the angle next to it on the same line (in degrees)?
  21. 21.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 142°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Two angles are supplementary. One is 94° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the complement of 65° (in degrees)?
  27. 27.What is the supplement of 69° (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 132°. What is the angle vertically opposite to it (in degrees)?
  29. 29.What is the complement of 82° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 31°. What is its alternate interior angle (in degrees)?
  31. 31.What is the complement of 50° (in degrees)?
  32. 32.What is the complement of 14° (in degrees)?
  33. 33.What is the supplement of 34° (in degrees)?
  34. 34.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the complement of 73° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 44°. What is the angle vertically opposite to it (in degrees)?
  37. 37.What is the complement of 76° (in degrees)?
  38. 38.Are 29° and 151° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  39. 39.Two parallel lines are cut by a transversal. One angle is 42°. What is its corresponding angle (in degrees)?
  40. 40.What is the supplement of 167° (in degrees)?

Answer key

  1. 24
  2. Neither
  3. Supplementary
  4. 25
  5. 81
  6. 47
  7. Complementary
  8. 49
  9. 28
  10. 83
  11. 154
  12. 98
  13. 67
  14. Neither
  15. 76
  16. Complementary
  17. 73
  18. Complementary
  19. 90
  20. 130
  21. 55
  22. 142
  23. 137
  24. 77
  25. 47
  26. 25
  27. 111
  28. 132
  29. 8
  30. 31
  31. 40
  32. 76
  33. 146
  34. 54
  35. 17
  36. 44
  37. 14
  38. Supplementary
  39. 42
  40. 13

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