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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 827 · 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.What is the complement of 24° (in degrees)?
  2. 2.What is the supplement of 162° (in degrees)?
  3. 3.What is the supplement of 60° (in degrees)?
  4. 4.Are 18° and 165° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  5. 5.What is the supplement of 46° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 46°. What is its alternate interior angle (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 74°. What is the angle next to it on the same line (in degrees)?
  8. 8.Two angles are supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  9. 9.Are 32° and 15° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  10. 10.What is the complement of 70° (in degrees)?
  11. 11.Are 61° and 119° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 84°. What is its alternate interior angle (in degrees)?
  13. 13.What is the supplement of 147° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 100°. What is its other interior angle on the same side of the transversal (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One angle is 135°. What is its corresponding angle (in degrees)?
  16. 16.What is the complement of 77° (in degrees)?
  17. 17.Are 40° and 50° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  18. 18.Two angles are supplementary. One is 140° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 89°. What is its corresponding angle (in degrees)?
  20. 20.What is the complement of 23° (in degrees)?
  21. 21.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  22. 22.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)?
  23. 23.Are 44° and 136° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 132°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.What is the supplement of 74° (in degrees)?
  26. 26.What is the supplement of 52° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 141°. What is its alternate interior angle (in degrees)?
  28. 28.Are 74° and 10° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  29. 29.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the complement of 44° (in degrees)?
  31. 31.Are 79° and 101° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  32. 32.Two straight lines cross each other. One of the angles formed is 65°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 128°. What is the angle vertically opposite to it (in degrees)?
  34. 34.What is the supplement of 38° (in degrees)?
  35. 35.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the supplement of 114° (in degrees)?
  37. 37.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 132°. What is its corresponding angle (in degrees)?
  39. 39.What is the supplement of 80° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 133°. What is its other interior angle on the same side of the transversal (in degrees)?

Answer key

  1. 66
  2. 18
  3. 120
  4. Neither
  5. 134
  6. 46
  7. 106
  8. 95
  9. Neither
  10. 20
  11. Supplementary
  12. 84
  13. 33
  14. 80
  15. 135
  16. 13
  17. Complementary
  18. 160
  19. 89
  20. 67
  21. 51
  22. 54
  23. Supplementary
  24. 48
  25. 106
  26. 128
  27. 141
  28. Neither
  29. 55
  30. 46
  31. Supplementary
  32. 65
  33. 128
  34. 142
  35. 62
  36. 66
  37. 108
  38. 132
  39. 100
  40. 47

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