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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 859 · 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.What is the complement of 73° (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 86°. What is its corresponding angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 129°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.What is the supplement of 16° (in degrees)?
  5. 5.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the complement of 29° (in degrees)?
  7. 7.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 47°. What is its other interior angle on the same side of the transversal (in degrees)?
  9. 9.What is the supplement of 48° (in degrees)?
  10. 10.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  12. 12.What is the supplement of 157° (in degrees)?
  13. 13.What is the complement of 36° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its other interior angle on the same side of the transversal (in degrees)?
  15. 15.What is the supplement of 47° (in degrees)?
  16. 16.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 59° (in degrees)?
  18. 18.What is the complement of 77° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 71°. What is the angle next to it on the same line (in degrees)?
  20. 20.Are 43° and 47° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  21. 21.Are 21° and 134° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its alternate interior angle (in degrees)?
  23. 23.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 126°. What is its alternate interior angle (in degrees)?
  26. 26.Two angles are supplementary. One is 140° more than the other. What is the bigger angle (in degrees)?
  27. 27.What is the supplement of 106° (in degrees)?
  28. 28.What is the complement of 48° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 90°. What is its alternate interior angle (in degrees)?
  30. 30.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two angles are supplementary. One is 90° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 65°. What is the angle vertically opposite to it (in degrees)?
  33. 33.What is the complement of 44° (in degrees)?
  34. 34.What is the supplement of 165° (in degrees)?
  35. 35.Are 54° and 126° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  36. 36.Two straight lines cross each other. One of the angles formed is 148°. What is the angle vertically opposite to it (in degrees)?
  37. 37.What is the supplement of 43° (in degrees)?
  38. 38.What is the complement of 65° (in degrees)?
  39. 39.Are 20° and 70° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  40. 40.What is the complement of 31° (in degrees)?

Answer key

  1. 17
  2. 86
  3. 51
  4. 164
  5. 53
  6. 61
  7. 76
  8. 133
  9. 132
  10. 57
  11. 67
  12. 23
  13. 54
  14. 132
  15. 133
  16. 46
  17. 121
  18. 13
  19. 109
  20. Complementary
  21. Neither
  22. 110
  23. 59
  24. 111
  25. 126
  26. 160
  27. 74
  28. 42
  29. 90
  30. 48
  31. 135
  32. 65
  33. 46
  34. 15
  35. Supplementary
  36. 148
  37. 137
  38. 25
  39. Complementary
  40. 59

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