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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 828 · 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 21° (in degrees)?
  2. 2.What is the supplement of 33° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 140°. What is the angle next to it on the same line (in degrees)?
  4. 4.What is the complement of 36° (in degrees)?
  5. 5.What is the supplement of 161° (in degrees)?
  6. 6.Two angles are supplementary. One is 108° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the supplement of 64° (in degrees)?
  8. 8.Two angles are supplementary. One is 138° 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 145°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the supplement of 6° (in degrees)?
  12. 12.What is the complement of 30° (in degrees)?
  13. 13.What is the complement of 84° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 36°. What is the angle next to it on the same line (in degrees)?
  15. 15.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 105°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One angle is 58°. What is its corresponding angle (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 132°. What is its corresponding angle (in degrees)?
  19. 19.Are 28° and 152° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  20. 20.Two straight lines cross each other. One of the angles formed is 43°. What is the angle next to it on the same line (in degrees)?
  21. 21.Two angles are supplementary. One is 42° 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 132°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 112°. What is the angle next to it on the same line (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 64°. What is the angle next to it on the same line (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 55°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 54°. What is its alternate interior angle (in degrees)?
  27. 27.Are 67° and 113° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  28. 28.Are 60° and 47° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  29. 29.What is the supplement of 36° (in degrees)?
  30. 30.What is the complement of 40° (in degrees)?
  31. 31.What is the supplement of 12° (in degrees)?
  32. 32.What is the complement of 8° (in degrees)?
  33. 33.What is the complement of 31° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 41°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its alternate interior angle (in degrees)?
  36. 36.Are 80° and 100° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  37. 37.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  38. 38.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)?
  39. 39.Are 78° and 12° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  40. 40.What is the supplement of 127° (in degrees)?

Answer key

  1. 69
  2. 147
  3. 40
  4. 54
  5. 19
  6. 144
  7. 116
  8. 159
  9. 35
  10. 150
  11. 174
  12. 60
  13. 6
  14. 144
  15. 64
  16. 105
  17. 58
  18. 132
  19. Supplementary
  20. 137
  21. 111
  22. 48
  23. 68
  24. 116
  25. 55
  26. 54
  27. Supplementary
  28. Neither
  29. 144
  30. 50
  31. 168
  32. 82
  33. 59
  34. 41
  35. 38
  36. Supplementary
  37. 67
  38. 92
  39. Complementary
  40. 53

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