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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 39 · 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 angles are supplementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 143°. What is its corresponding angle (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 156°. What is the angle next to it on the same line (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 52°. What is the angle next to it on the same line (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 88°. What is its other interior angle on the same side of the transversal (in degrees)?
  6. 6.Are 20° and 91° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  7. 7.What is the supplement of 22° (in degrees)?
  8. 8.What is the supplement of 54° (in degrees)?
  9. 9.What is the complement of 55° (in degrees)?
  10. 10.Are 71° and 109° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  11. 11.What is the complement of 6° (in degrees)?
  12. 12.What is the supplement of 15° (in degrees)?
  13. 13.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 59°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its alternate interior angle (in degrees)?
  16. 16.Are 13° and 77° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  17. 17.What is the complement of 58° (in degrees)?
  18. 18.Are 57° and 93° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  19. 19.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 145°. What is its alternate interior angle (in degrees)?
  21. 21.Are 37° and 31° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 144°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.What is the supplement of 16° (in degrees)?
  24. 24.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 116°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 25°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 125°. What is the angle next to it on the same line (in degrees)?
  28. 28.Two angles are supplementary. One is 104° more than the other. What is the bigger angle (in degrees)?
  29. 29.Are 14° and 166° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  30. 30.What is the complement of 34° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 99°. What is its corresponding angle (in degrees)?
  32. 32.What is the complement of 52° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 106°. What is its corresponding angle (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 20°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Are 60° and 30° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  36. 36.Two parallel lines are cut by a transversal. One angle is 72°. What is its corresponding angle (in degrees)?
  37. 37.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  38. 38.Are 74° and 27° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  39. 39.Are 11° and 79° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  40. 40.What is the supplement of 73° (in degrees)?

Answer key

  1. 125
  2. 143
  3. 24
  4. 128
  5. 92
  6. Neither
  7. 158
  8. 126
  9. 35
  10. Supplementary
  11. 84
  12. 165
  13. 51
  14. 59
  15. 91
  16. Complementary
  17. 32
  18. Neither
  19. 53
  20. 145
  21. Neither
  22. 36
  23. 164
  24. 68
  25. 116
  26. 25
  27. 55
  28. 142
  29. Supplementary
  30. 56
  31. 99
  32. 38
  33. 106
  34. 20
  35. Complementary
  36. 72
  37. 113
  38. Neither
  39. Complementary
  40. 107

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