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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 309 · 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 70° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 84°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 132°. What is the angle next to it on the same line (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 133°. What is its corresponding angle (in degrees)?
  5. 5.What is the complement of 65° (in degrees)?
  6. 6.What is the supplement of 14° (in degrees)?
  7. 7.Two angles are supplementary. One is 96° more than the other. What is the bigger angle (in degrees)?
  8. 8.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)?
  9. 9.Two straight lines cross each other. One of the angles formed is 104°. What is the angle next to it on the same line (in degrees)?
  10. 10.Are 37° and 143° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  11. 11.Two angles are supplementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  12. 12.What is the supplement of 7° (in degrees)?
  13. 13.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the complement of 67° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 71°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its alternate interior angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 64°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Are 41° and 139° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  19. 19.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the supplement of 150° (in degrees)?
  21. 21.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 31°. What is its alternate interior angle (in degrees)?
  23. 23.What is the complement of 43° (in degrees)?
  24. 24.What is the supplement of 136° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 122°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 106°. What is its alternate interior angle (in degrees)?
  27. 27.Are 45° and 45° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  28. 28.Two straight lines cross each other. One of the angles formed is 65°. What is the angle next to it on the same line (in degrees)?
  29. 29.What is the supplement of 28° (in degrees)?
  30. 30.Two angles are supplementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  31. 31.Are 37° and 110° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  32. 32.What is the supplement of 46° (in degrees)?
  33. 33.What is the complement of 36° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 124°. What is the angle vertically opposite to it (in degrees)?
  35. 35.What is the supplement of 25° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 84°. What is the angle next to it on the same line (in degrees)?
  37. 37.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  38. 38.Two angles are supplementary. One is 114° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the complement of 58° (in degrees)?

Answer key

  1. 20
  2. 84
  3. 48
  4. 133
  5. 25
  6. 166
  7. 138
  8. 45
  9. 76
  10. Supplementary
  11. 109
  12. 173
  13. 54
  14. 23
  15. 109
  16. 110
  17. 64
  18. Supplementary
  19. 60
  20. 30
  21. 59
  22. 31
  23. 47
  24. 44
  25. 58
  26. 106
  27. Complementary
  28. 115
  29. 152
  30. 119
  31. Neither
  32. 134
  33. 54
  34. 124
  35. 155
  36. 96
  37. 77
  38. 147
  39. 49
  40. 32

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