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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 661 · 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 90°. What is the angle next to it on the same line (in degrees)?
  2. 2.What is the complement of 49° (in degrees)?
  3. 3.What is the complement of 16° (in degrees)?
  4. 4.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  5. 5.Are 10° and 170° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  6. 6.Are 12° and 168° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  7. 7.Are 39° and 168° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  8. 8.What is the supplement of 140° (in degrees)?
  9. 9.What is the supplement of 16° (in degrees)?
  10. 10.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the supplement of 151° (in degrees)?
  12. 12.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the complement of 74° (in degrees)?
  14. 14.What is the supplement of 86° (in degrees)?
  15. 15.What is the complement of 59° (in degrees)?
  16. 16.What is the complement of 36° (in degrees)?
  17. 17.Are 74° and 16° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  18. 18.Are 39° and 141° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its alternate interior angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 88°. What is its corresponding angle (in degrees)?
  21. 21.What is the complement of 54° (in degrees)?
  22. 22.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  23. 23.Are 10° and 80° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  24. 24.Two parallel lines are cut by a transversal. One angle is 125°. What is its corresponding angle (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 124°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 79°. What is the angle vertically opposite to it (in degrees)?
  27. 27.What is the supplement of 11° (in degrees)?
  28. 28.What is the supplement of 88° (in degrees)?
  29. 29.What is the complement of 44° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 129°. What is the angle next to it on the same line (in degrees)?
  31. 31.Are 64° and 116° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  32. 32.Are 27° and 63° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  33. 33.Two angles are supplementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  34. 34.Are 13° and 77° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  35. 35.What is the complement of 69° (in degrees)?
  36. 36.What is the supplement of 69° (in degrees)?
  37. 37.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  38. 38.What is the complement of 9° (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 56°. What is the angle next to it on the same line (in degrees)?
  40. 40.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 90
  2. 41
  3. 74
  4. 71
  5. Supplementary
  6. Supplementary
  7. Neither
  8. 40
  9. 164
  10. 63
  11. 29
  12. 57
  13. 16
  14. 94
  15. 31
  16. 54
  17. Complementary
  18. Supplementary
  19. 110
  20. 88
  21. 36
  22. 107
  23. Complementary
  24. 125
  25. 124
  26. 79
  27. 169
  28. 92
  29. 46
  30. 51
  31. Supplementary
  32. Complementary
  33. 114
  34. Complementary
  35. 21
  36. 111
  37. 64
  38. 81
  39. 124
  40. 76

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