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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 49 · 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 50° (in degrees)?
  2. 2.What is the supplement of 164° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 48°. What is the angle vertically opposite to it (in degrees)?
  4. 4.What is the complement of 47° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 128°. What is the angle next to it on the same line (in degrees)?
  6. 6.What is the supplement of 112° (in degrees)?
  7. 7.What is the supplement of 17° (in degrees)?
  8. 8.What is the supplement of 34° (in degrees)?
  9. 9.Two angles are supplementary. One is 100° more than the other. What is the bigger angle (in degrees)?
  10. 10.What is the complement of 36° (in degrees)?
  11. 11.What is the complement of 78° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One angle is 141°. What is its corresponding angle (in degrees)?
  13. 13.Are 13° and 77° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  14. 14.What is the complement of 48° (in degrees)?
  15. 15.Are 42° and 48° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  16. 16.Two straight lines cross each other. One of the angles formed is 63°. What is the angle next to it on the same line (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One angle is 103°. What is its corresponding angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 54°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 143°. What is its alternate interior angle (in degrees)?
  20. 20.Two angles are supplementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 74°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One angle is 37°. What is its corresponding angle (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 65°. What is the angle next to it on the same line (in degrees)?
  24. 24.What is the complement of 11° (in degrees)?
  25. 25.What is the supplement of 107° (in degrees)?
  26. 26.Are 55° and 35° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  27. 27.Two straight lines cross each other. One of the angles formed is 71°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 38°. What is the angle vertically opposite to it (in degrees)?
  30. 30.What is the supplement of 41° (in degrees)?
  31. 31.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the complement of 54° (in degrees)?
  33. 33.What is the complement of 19° (in degrees)?
  34. 34.Are 25° and 65° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  35. 35.Two parallel lines are cut by a transversal. One angle is 51°. What is its corresponding angle (in degrees)?
  36. 36.What is the supplement of 19° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 33°. What is the angle next to it on the same line (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 22°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One angle is 144°. What is its corresponding angle (in degrees)?
  40. 40.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 40
  2. 16
  3. 48
  4. 43
  5. 52
  6. 68
  7. 163
  8. 146
  9. 140
  10. 54
  11. 12
  12. 141
  13. Complementary
  14. 42
  15. Complementary
  16. 117
  17. 103
  18. 126
  19. 143
  20. 101
  21. 74
  22. 37
  23. 115
  24. 79
  25. 73
  26. Complementary
  27. 71
  28. 78
  29. 38
  30. 139
  31. 50
  32. 36
  33. 71
  34. Complementary
  35. 51
  36. 161
  37. 147
  38. 22
  39. 144
  40. 75

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