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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 413 · 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 13° (in degrees)?
  2. 2.Are 79° and 87° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  3. 3.What is the complement of 66° (in degrees)?
  4. 4.Are 17° and 46° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  5. 5.Two parallel lines are cut by a transversal. One angle is 72°. What is its corresponding angle (in degrees)?
  6. 6.Are 17° and 163° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  7. 7.Are 55° and 134° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 82°. What is its alternate interior angle (in degrees)?
  9. 9.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 56°. What is its corresponding angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One angle is 96°. What is its corresponding angle (in degrees)?
  12. 12.What is the supplement of 30° (in degrees)?
  13. 13.What is the complement of 24° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 144°. What is the angle next to it on the same line (in degrees)?
  15. 15.What is the supplement of 127° (in degrees)?
  16. 16.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 127°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 105°. What is its alternate interior angle (in degrees)?
  19. 19.What is the complement of 56° (in degrees)?
  20. 20.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the supplement of 12° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One angle is 48°. What is its corresponding angle (in degrees)?
  23. 23.What is the supplement of 73° (in degrees)?
  24. 24.Are 55° and 35° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  25. 25.What is the supplement of 28° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 155°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two angles are supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 137° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 39°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 125°. What is the angle next to it on the same line (in degrees)?
  33. 33.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
  34. 34.Are 72° and 108° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 77°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.What is the complement of 28° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 93°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 85°. What is its alternate interior angle (in degrees)?
  39. 39.What is the supplement of 20° (in degrees)?
  40. 40.What is the complement of 43° (in degrees)?

Answer key

  1. 77
  2. Neither
  3. 24
  4. Neither
  5. 72
  6. Supplementary
  7. Neither
  8. 82
  9. 118
  10. 56
  11. 96
  12. 150
  13. 66
  14. 36
  15. 53
  16. 47
  17. 53
  18. 105
  19. 34
  20. 152
  21. 168
  22. 48
  23. 107
  24. Complementary
  25. 152
  26. 155
  27. 54
  28. 95
  29. 55
  30. 43
  31. 39
  32. 55
  33. 149
  34. Supplementary
  35. 103
  36. 62
  37. 87
  38. 85
  39. 160
  40. 47

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