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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 754 · 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 136° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the supplement of 131° (in degrees)?
  3. 3.Are 41° and 139° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  4. 4.Two straight lines cross each other. One of the angles formed is 21°. What is the angle vertically opposite to it (in degrees)?
  5. 5.What is the complement of 85° (in degrees)?
  6. 6.What is the complement of 83° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 95°. What is its alternate interior angle (in degrees)?
  8. 8.What is the supplement of 86° (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One angle is 41°. What is its corresponding angle (in degrees)?
  10. 10.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 64°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 72°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.Are 38° and 52° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  14. 14.Two straight lines cross each other. One of the angles formed is 128°. What is the angle next to it on the same line (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 46°. What is the angle next to it on the same line (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 159°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 120°. What is its alternate interior angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 88°. What is the angle next to it on the same line (in degrees)?
  19. 19.What is the supplement of 147° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 45°. What is its alternate interior angle (in degrees)?
  21. 21.Are 66° and 114° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  22. 22.Two angles are supplementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the supplement of 127° (in degrees)?
  24. 24.What is the complement of 11° (in degrees)?
  25. 25.Two angles are supplementary. One is 110° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the supplement of 146° (in degrees)?
  27. 27.What is the supplement of 93° (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 59°. What is its alternate interior angle (in degrees)?
  29. 29.Are 28° and 131° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  30. 30.What is the supplement of 73° (in degrees)?
  31. 31.Are 13° and 167° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  32. 32.What is the complement of 37° (in degrees)?
  33. 33.What is the complement of 65° (in degrees)?
  34. 34.What is the supplement of 15° (in degrees)?
  35. 35.What is the complement of 32° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 38°. What is the angle next to it on the same line (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 153°. What is the angle vertically opposite to it (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 43°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.What is the supplement of 40° (in degrees)?

Answer key

  1. 158
  2. 49
  3. Supplementary
  4. 21
  5. 5
  6. 7
  7. 95
  8. 94
  9. 41
  10. 67
  11. 64
  12. 108
  13. Complementary
  14. 52
  15. 134
  16. 159
  17. 120
  18. 92
  19. 33
  20. 45
  21. Supplementary
  22. 119
  23. 53
  24. 79
  25. 145
  26. 34
  27. 87
  28. 59
  29. Neither
  30. 107
  31. Supplementary
  32. 53
  33. 25
  34. 165
  35. 58
  36. 142
  37. 153
  38. 150
  39. 137
  40. 140

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