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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 687 · 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 23° (in degrees)?
  2. 2.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 114°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.What is the supplement of 11° (in degrees)?
  5. 5.Are 74° and 106° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  6. 6.What is the complement of 17° (in degrees)?
  7. 7.What is the complement of 31° (in degrees)?
  8. 8.Are 45° and 7° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  9. 9.Two parallel lines are cut by a transversal. One angle is 79°. What is its corresponding angle (in degrees)?
  10. 10.What is the supplement of 131° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 77°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One angle is 108°. What is its corresponding angle (in degrees)?
  13. 13.What is the complement of 10° (in degrees)?
  14. 14.What is the complement of 20° (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 26°. What is the angle vertically opposite to it (in degrees)?
  16. 16.What is the supplement of 21° (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 148°. What is the angle next to it on the same line (in degrees)?
  18. 18.What is the complement of 74° (in degrees)?
  19. 19.What is the complement of 35° (in degrees)?
  20. 20.What is the supplement of 5° (in degrees)?
  21. 21.What is the complement of 85° (in degrees)?
  22. 22.What is the supplement of 50° (in degrees)?
  23. 23.What is the complement of 82° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 120°. What is its corresponding angle (in degrees)?
  25. 25.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)?
  26. 26.Two straight lines cross each other. One of the angles formed is 120°. What is the angle next to it on the same line (in degrees)?
  27. 27.What is the supplement of 151° (in degrees)?
  28. 28.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 95°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 75°. What is its alternate interior angle (in degrees)?
  31. 31.Are 30° and 52° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  32. 32.What is the complement of 7° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 127°. What is its other interior angle on the same side of the transversal (in degrees)?
  34. 34.What is the complement of 62° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 50°. What is the angle vertically opposite to it (in degrees)?
  36. 36.What is the supplement of 139° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 112°. What is its corresponding angle (in degrees)?
  38. 38.What is the supplement of 15° (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 88°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Are 29° and 157° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary

Answer key

  1. 67
  2. 118
  3. 66
  4. 169
  5. Supplementary
  6. 73
  7. 59
  8. Neither
  9. 79
  10. 49
  11. 77
  12. 108
  13. 80
  14. 70
  15. 26
  16. 159
  17. 32
  18. 16
  19. 55
  20. 175
  21. 5
  22. 130
  23. 8
  24. 120
  25. 98
  26. 60
  27. 29
  28. 55
  29. 95
  30. 75
  31. Neither
  32. 83
  33. 53
  34. 28
  35. 50
  36. 41
  37. 112
  38. 165
  39. 88
  40. Neither

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