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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 150 · 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.Are 56° and 124° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  2. 2.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One angle is 60°. What is its corresponding angle (in degrees)?
  4. 4.What is the supplement of 144° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 39°. What is its alternate interior angle (in degrees)?
  6. 6.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)?
  7. 7.What is the complement of 9° (in degrees)?
  8. 8.What is the supplement of 147° (in degrees)?
  9. 9.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)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 74°. What is its corresponding angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 72°. What is its alternate interior angle (in degrees)?
  12. 12.What is the supplement of 51° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 79°. What is the angle vertically opposite to it (in degrees)?
  14. 14.What is the complement of 52° (in degrees)?
  15. 15.What is the supplement of 75° (in degrees)?
  16. 16.What is the supplement of 171° (in degrees)?
  17. 17.What is the complement of 84° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its alternate interior angle (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 144°. What is the angle vertically opposite to it (in degrees)?
  20. 20.What is the supplement of 68° (in degrees)?
  21. 21.Are 16° and 164° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 145°. What is its alternate interior angle (in degrees)?
  23. 23.What is the complement of 47° (in degrees)?
  24. 24.What is the supplement of 24° (in degrees)?
  25. 25.What is the supplement of 141° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 119°. What is its corresponding angle (in degrees)?
  27. 27.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One angle is 51°. What is its corresponding angle (in degrees)?
  30. 30.What is the complement of 48° (in degrees)?
  31. 31.What is the supplement of 167° (in degrees)?
  32. 32.Are 77° and 103° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 127°. What is its alternate interior angle (in degrees)?
  34. 34.Are 18° and 152° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  35. 35.Two parallel lines are cut by a transversal. One angle is 96°. What is its corresponding angle (in degrees)?
  36. 36.Are 28° and 152° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  37. 37.Are 23° and 67° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.What is the complement of 42° (in degrees)?
  39. 39.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the supplement of 121° (in degrees)?

Answer key

  1. Supplementary
  2. 111
  3. 60
  4. 36
  5. 39
  6. 132
  7. 81
  8. 33
  9. 55
  10. 74
  11. 72
  12. 129
  13. 79
  14. 38
  15. 105
  16. 9
  17. 6
  18. 56
  19. 144
  20. 112
  21. Supplementary
  22. 145
  23. 43
  24. 156
  25. 39
  26. 119
  27. 49
  28. 53
  29. 51
  30. 42
  31. 13
  32. Supplementary
  33. 127
  34. Neither
  35. 96
  36. Supplementary
  37. Complementary
  38. 48
  39. 52
  40. 59

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