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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 698 · 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 10° (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 93°. What is its corresponding angle (in degrees)?
  3. 3.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the supplement of 103° (in degrees)?
  5. 5.What is the complement of 39° (in degrees)?
  6. 6.Are 28° and 152° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  7. 7.Are 11° and 79° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  8. 8.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.What is the supplement of 142° (in degrees)?
  11. 11.What is the supplement of 14° (in degrees)?
  12. 12.What is the supplement of 38° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 134°. What is its alternate interior angle (in degrees)?
  14. 14.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the complement of 79° (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 130°. What is the angle vertically opposite to it (in degrees)?
  17. 17.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)?
  18. 18.What is the complement of 24° (in degrees)?
  19. 19.What is the supplement of 161° (in degrees)?
  20. 20.What is the complement of 37° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 143°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 44°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the complement of 23° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 44°. What is the angle next to it on the same line (in degrees)?
  26. 26.What is the supplement of 168° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 42°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 26°. What is the angle vertically opposite to it (in degrees)?
  29. 29.What is the complement of 71° (in degrees)?
  30. 30.Are 35° and 55° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  31. 31.Two straight lines cross each other. One of the angles formed is 59°. What is the angle vertically opposite to it (in degrees)?
  32. 32.What is the complement of 44° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 124°. What is the angle next to it on the same line (in degrees)?
  34. 34.What is the complement of 14° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its alternate interior angle (in degrees)?
  36. 36.Are 17° and 163° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 116°. What is its alternate interior angle (in degrees)?
  38. 38.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 78°. What is its alternate interior angle (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 51°. What is its alternate interior angle (in degrees)?

Answer key

  1. 80
  2. 93
  3. 56
  4. 77
  5. 51
  6. Supplementary
  7. Complementary
  8. 55
  9. 62
  10. 38
  11. 166
  12. 142
  13. 134
  14. 70
  15. 11
  16. 130
  17. 86
  18. 66
  19. 19
  20. 53
  21. 37
  22. 136
  23. 105
  24. 67
  25. 136
  26. 12
  27. 42
  28. 26
  29. 19
  30. Complementary
  31. 59
  32. 46
  33. 56
  34. 76
  35. 107
  36. Supplementary
  37. 116
  38. 150
  39. 78
  40. 51

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