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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 901 · 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 43° (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 140°. What is its alternate interior angle (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 123°. What is the angle vertically opposite to it (in degrees)?
  4. 4.What is the supplement of 119° (in degrees)?
  5. 5.Are 17° and 163° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  6. 6.What is the complement of 65° (in degrees)?
  7. 7.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  8. 8.Are 29° and 151° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  9. 9.What is the supplement of 5° (in degrees)?
  10. 10.What is the supplement of 158° (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 82°. What is its other interior angle on the same side of the transversal (in degrees)?
  12. 12.What is the supplement of 26° (in degrees)?
  13. 13.What is the supplement of 172° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One angle is 55°. What is its corresponding angle (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 137°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.What is the supplement of 34° (in degrees)?
  17. 17.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the supplement of 54° (in degrees)?
  19. 19.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the complement of 84° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 45°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.What is the supplement of 48° (in degrees)?
  23. 23.What is the complement of 17° (in degrees)?
  24. 24.What is the supplement of 65° (in degrees)?
  25. 25.What is the supplement of 16° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 93°. What is its alternate interior angle (in degrees)?
  27. 27.What is the complement of 67° (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 41°. What is its alternate interior angle (in degrees)?
  29. 29.What is the supplement of 70° (in degrees)?
  30. 30.Are 79° and 101° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  31. 31.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two angles are supplementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 127°. What is the angle vertically opposite to it (in degrees)?
  34. 34.What is the complement of 11° (in degrees)?
  35. 35.What is the supplement of 37° (in degrees)?
  36. 36.What is the supplement of 28° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 134°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 106°. What is its corresponding angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 147°. What is the angle next to it on the same line (in degrees)?
  40. 40.Are 29° and 116° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary

Answer key

  1. 47
  2. 140
  3. 123
  4. 61
  5. Supplementary
  6. 25
  7. 80
  8. Supplementary
  9. 175
  10. 22
  11. 98
  12. 154
  13. 8
  14. 55
  15. 43
  16. 146
  17. 49
  18. 126
  19. 76
  20. 6
  21. 135
  22. 132
  23. 73
  24. 115
  25. 164
  26. 93
  27. 23
  28. 41
  29. 110
  30. Supplementary
  31. 61
  32. 112
  33. 127
  34. 79
  35. 143
  36. 152
  37. 134
  38. 106
  39. 33
  40. Neither

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