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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 171 · 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 22° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 82°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 25°. What is the angle vertically opposite to it (in degrees)?
  4. 4.What is the supplement of 32° (in degrees)?
  5. 5.Are 52° and 20° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  6. 6.Are 12° and 78° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  7. 7.Two straight lines cross each other. One of the angles formed is 41°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Are 30° and 60° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  9. 9.What is the complement of 39° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 149°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 111°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 62°. What is the angle vertically opposite to it (in degrees)?
  13. 13.What is the supplement of 118° (in degrees)?
  14. 14.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One angle is 115°. What is its corresponding angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.Are 17° and 73° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  18. 18.What is the complement of 10° (in degrees)?
  19. 19.What is the complement of 63° (in degrees)?
  20. 20.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  22. 22.Are 11° and 79° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  23. 23.What is the supplement of 53° (in degrees)?
  24. 24.Are 23° and 157° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  25. 25.Are 59° and 109° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  26. 26.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  27. 27.Are 48° and 132° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  28. 28.Are 29° and 72° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  29. 29.Two angles are supplementary. One is 126° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 98°. What is the angle vertically opposite to it (in degrees)?
  31. 31.What is the supplement of 165° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 110°. What is the angle next to it on the same line (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 20°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its alternate interior angle (in degrees)?
  35. 35.What is the supplement of 15° (in degrees)?
  36. 36.Are 60° and 120° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  37. 37.Two straight lines cross each other. One of the angles formed is 74°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 99°. What is the angle vertically opposite to it (in degrees)?
  39. 39.What is the complement of 38° (in degrees)?
  40. 40.Two angles are supplementary. One is 100° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 101
  2. 82
  3. 25
  4. 148
  5. Neither
  6. Complementary
  7. 41
  8. Complementary
  9. 51
  10. 149
  11. 111
  12. 62
  13. 62
  14. 75
  15. 115
  16. 89
  17. Complementary
  18. 80
  19. 27
  20. 152
  21. 108
  22. Complementary
  23. 127
  24. Supplementary
  25. Neither
  26. 76
  27. Supplementary
  28. Neither
  29. 153
  30. 98
  31. 15
  32. 70
  33. 20
  34. 118
  35. 165
  36. Supplementary
  37. 74
  38. 99
  39. 52
  40. 140

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