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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 942 · 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 angle is 57°. What is its corresponding angle (in degrees)?
  2. 2.What is the supplement of 142° (in degrees)?
  3. 3.What is the complement of 70° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 55°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 99°. What is its other interior angle on the same side of the transversal (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.What is the complement of 79° (in degrees)?
  8. 8.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the complement of 74° (in degrees)?
  10. 10.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 50°. What is its alternate interior angle (in degrees)?
  12. 12.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 43°. What is the angle vertically opposite to it (in degrees)?
  14. 14.What is the supplement of 168° (in degrees)?
  15. 15.What is the supplement of 174° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 92°. What is its alternate interior angle (in degrees)?
  17. 17.Are 67° and 23° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  18. 18.Are 36° and 54° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  19. 19.What is the complement of 69° (in degrees)?
  20. 20.What is the complement of 23° (in degrees)?
  21. 21.What is the complement of 54° (in degrees)?
  22. 22.What is the complement of 68° (in degrees)?
  23. 23.What is the complement of 52° (in degrees)?
  24. 24.What is the complement of 58° (in degrees)?
  25. 25.What is the complement of 82° (in degrees)?
  26. 26.Are 13° and 15° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  27. 27.What is the supplement of 100° (in degrees)?
  28. 28.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  29. 29.What is the complement of 56° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 26°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Are 19° and 71° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  32. 32.Two straight lines cross each other. One of the angles formed is 158°. What is the angle next to it on the same line (in degrees)?
  33. 33.What is the complement of 64° (in degrees)?
  34. 34.What is the complement of 67° (in degrees)?
  35. 35.What is the complement of 73° (in degrees)?
  36. 36.What is the supplement of 173° (in degrees)?
  37. 37.What is the supplement of 104° (in degrees)?
  38. 38.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  39. 39.Are 79° and 11° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  40. 40.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 57
  2. 38
  3. 20
  4. 125
  5. 81
  6. 43
  7. 11
  8. 111
  9. 16
  10. 151
  11. 50
  12. 46
  13. 43
  14. 12
  15. 6
  16. 92
  17. Complementary
  18. Complementary
  19. 21
  20. 67
  21. 36
  22. 22
  23. 38
  24. 32
  25. 8
  26. Neither
  27. 80
  28. 53
  29. 34
  30. 26
  31. Complementary
  32. 22
  33. 26
  34. 23
  35. 17
  36. 7
  37. 76
  38. 54
  39. Complementary
  40. 80

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