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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 573 · 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 parallel lines are cut by a transversal. One interior angle is 122°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.What is the complement of 21° (in degrees)?
  3. 3.Are 20° and 110° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  4. 4.Are 17° and 119° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  5. 5.What is the supplement of 137° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 43°. What is its alternate interior angle (in degrees)?
  7. 7.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  8. 8.Are 29° and 151° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  9. 9.What is the complement of 51° (in degrees)?
  10. 10.Are 71° and 109° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  11. 11.What is the complement of 65° (in degrees)?
  12. 12.Two angles are supplementary. One is 102° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the supplement of 18° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 92°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the supplement of 35° (in degrees)?
  16. 16.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 27° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 51°. What is its corresponding angle (in degrees)?
  19. 19.What is the supplement of 77° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 126°. What is the angle next to it on the same line (in degrees)?
  21. 21.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 80°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.Are 19° and 71° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  24. 24.Are 49° and 131° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  25. 25.What is the supplement of 111° (in degrees)?
  26. 26.What is the complement of 54° (in degrees)?
  27. 27.What is the supplement of 140° (in degrees)?
  28. 28.What is the complement of 80° (in degrees)?
  29. 29.Are 32° and 58° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  30. 30.Two straight lines cross each other. One of the angles formed is 66°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 23°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One angle is 98°. What is its corresponding angle (in degrees)?
  33. 33.What is the supplement of 131° (in degrees)?
  34. 34.Are 41° and 130° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  35. 35.Two parallel lines are cut by a transversal. One angle is 69°. What is its corresponding angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 120°. What is its corresponding angle (in degrees)?
  37. 37.What is the supplement of 44° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 48°. What is the angle next to it on the same line (in degrees)?
  39. 39.What is the supplement of 8° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 70°. What is its other interior angle on the same side of the transversal (in degrees)?

Answer key

  1. 58
  2. 69
  3. Neither
  4. Neither
  5. 43
  6. 43
  7. 67
  8. Supplementary
  9. 39
  10. Supplementary
  11. 25
  12. 141
  13. 162
  14. 92
  15. 145
  16. 75
  17. 153
  18. 51
  19. 103
  20. 54
  21. 62
  22. 100
  23. Complementary
  24. Supplementary
  25. 69
  26. 36
  27. 40
  28. 10
  29. Complementary
  30. 66
  31. 23
  32. 98
  33. 49
  34. Neither
  35. 69
  36. 120
  37. 136
  38. 132
  39. 172
  40. 110

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