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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 495 · 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 angles are supplementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  3. 3.Are 24° and 66° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  4. 4.What is the supplement of 35° (in degrees)?
  5. 5.Are 59° and 31° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  6. 6.Two straight lines cross each other. One of the angles formed is 137°. What is the angle next to it on the same line (in degrees)?
  7. 7.What is the complement of 39° (in degrees)?
  8. 8.What is the complement of 83° (in degrees)?
  9. 9.What is the supplement of 60° (in degrees)?
  10. 10.What is the supplement of 77° (in degrees)?
  11. 11.Are 43° and 47° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  12. 12.What is the complement of 17° (in degrees)?
  13. 13.Are 45° and 135° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  14. 14.Two straight lines cross each other. One of the angles formed is 41°. What is the angle vertically opposite to it (in degrees)?
  15. 15.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)?
  16. 16.What is the complement of 31° (in degrees)?
  17. 17.What is the complement of 8° (in degrees)?
  18. 18.What is the complement of 66° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 111°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 75°. What is the angle next to it on the same line (in degrees)?
  21. 21.Are 78° and 102° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  22. 22.What is the complement of 12° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 73°. What is its other interior angle on the same side of the transversal (in degrees)?
  24. 24.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the supplement of 63° (in degrees)?
  26. 26.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  27. 27.What is the complement of 35° (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 142°. What is its corresponding angle (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 140°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 134°. What is the angle next to it on the same line (in degrees)?
  31. 31.What is the complement of 6° (in degrees)?
  32. 32.Two angles are supplementary. One is 88° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the supplement of 119° (in degrees)?
  34. 34.What is the supplement of 20° (in degrees)?
  35. 35.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 70°. What is the angle next to it on the same line (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 60°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 78°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One angle is 96°. What is its corresponding angle (in degrees)?
  40. 40.What is the supplement of 165° (in degrees)?

Answer key

  1. 96
  2. 51
  3. Complementary
  4. 145
  5. Complementary
  6. 43
  7. 51
  8. 7
  9. 120
  10. 103
  11. Complementary
  12. 73
  13. Supplementary
  14. 41
  15. 126
  16. 59
  17. 82
  18. 24
  19. 111
  20. 105
  21. Supplementary
  22. 78
  23. 107
  24. 67
  25. 117
  26. 46
  27. 55
  28. 142
  29. 40
  30. 46
  31. 84
  32. 134
  33. 61
  34. 160
  35. 54
  36. 110
  37. 60
  38. 78
  39. 96
  40. 15

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