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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 966 · 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 complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the supplement of 100° (in degrees)?
  3. 3.Are 23° and 67° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  4. 4.Are 66° and 24° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  5. 5.What is the supplement of 172° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.Are 10° and 35° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  8. 8.What is the complement of 58° (in degrees)?
  9. 9.What is the complement of 56° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 120°. What is its alternate interior angle (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 110°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Are 28° and 62° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  13. 13.What is the complement of 12° (in degrees)?
  14. 14.Are 12° and 168° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  15. 15.What is the supplement of 52° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 113°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.Two angles are supplementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the complement of 22° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 127°. What is the angle next to it on the same line (in degrees)?
  20. 20.What is the complement of 41° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 106°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.Two angles are supplementary. One is 88° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the supplement of 137° (in degrees)?
  24. 24.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 59°. What is the angle vertically opposite to it (in degrees)?
  26. 26.What is the complement of 60° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 60°. What is the angle next to it on the same line (in degrees)?
  28. 28.Are 51° and 39° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  29. 29.Are 44° and 46° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  30. 30.What is the supplement of 15° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 100°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Are 50° and 121° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  33. 33.Are 67° and 23° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  34. 34.Two straight lines cross each other. One of the angles formed is 142°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 53°. What is the angle next to it on the same line (in degrees)?
  36. 36.What is the complement of 59° (in degrees)?
  37. 37.What is the supplement of 104° (in degrees)?
  38. 38.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 51°. What is its alternate interior angle (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 99°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 74
  2. 80
  3. Complementary
  4. Complementary
  5. 8
  6. 62
  7. Neither
  8. 32
  9. 34
  10. 120
  11. 110
  12. Complementary
  13. 78
  14. Supplementary
  15. 128
  16. 67
  17. 106
  18. 68
  19. 53
  20. 49
  21. 74
  22. 134
  23. 43
  24. 61
  25. 59
  26. 30
  27. 120
  28. Complementary
  29. Complementary
  30. 165
  31. 100
  32. Neither
  33. Complementary
  34. 142
  35. 127
  36. 31
  37. 76
  38. 103
  39. 51
  40. 99

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