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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 51 · 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 116°. What is its corresponding angle (in degrees)?
  2. 2.What is the supplement of 167° (in degrees)?
  3. 3.What is the complement of 41° (in degrees)?
  4. 4.What is the supplement of 145° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 80°. What is the angle next to it on the same line (in degrees)?
  6. 6.What is the supplement of 97° (in degrees)?
  7. 7.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 7° (in degrees)?
  9. 9.Are 23° and 31° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  10. 10.What is the supplement of 48° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 86°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 44°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its alternate interior angle (in degrees)?
  14. 14.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 129°. What is its alternate interior angle (in degrees)?
  16. 16.Two angles are supplementary. One is 84° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 10° (in degrees)?
  18. 18.Are 45° and 135° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  19. 19.What is the supplement of 76° (in degrees)?
  20. 20.Two angles are supplementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two angles are supplementary. One is 126° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the complement of 28° (in degrees)?
  23. 23.Are 24° and 156° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  24. 24.Two straight lines cross each other. One of the angles formed is 135°. What is the angle next to it on the same line (in degrees)?
  25. 25.What is the supplement of 126° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 94°. What is the angle next to it on the same line (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 66°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 89°. What is the angle vertically opposite to it (in degrees)?
  29. 29.What is the complement of 84° (in degrees)?
  30. 30.What is the complement of 8° (in degrees)?
  31. 31.What is the supplement of 74° (in degrees)?
  32. 32.What is the complement of 75° (in degrees)?
  33. 33.What is the complement of 10° (in degrees)?
  34. 34.What is the supplement of 8° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 114°. What is its alternate interior angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 81°. What is its alternate interior angle (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 30°. What is its alternate interior angle (in degrees)?
  38. 38.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 116
  2. 13
  3. 49
  4. 35
  5. 100
  6. 83
  7. 52
  8. 83
  9. Neither
  10. 132
  11. 86
  12. 44
  13. 56
  14. 68
  15. 129
  16. 132
  17. 170
  18. Supplementary
  19. 104
  20. 92
  21. 153
  22. 62
  23. Supplementary
  24. 45
  25. 54
  26. 86
  27. 114
  28. 89
  29. 6
  30. 82
  31. 106
  32. 15
  33. 80
  34. 172
  35. 114
  36. 81
  37. 30
  38. 108
  39. 70
  40. 99

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