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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 275 · 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 114° more than the other. What is the bigger angle (in degrees)?
  2. 2.Are 65° and 94° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  3. 3.Two straight lines cross each other. One of the angles formed is 91°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 37°. What is the angle next to it on the same line (in degrees)?
  5. 5.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)?
  6. 6.What is the supplement of 15° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One angle is 49°. What is its corresponding angle (in degrees)?
  8. 8.Are 49° and 22° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  9. 9.Two straight lines cross each other. One of the angles formed is 127°. What is the angle vertically opposite to it (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 74°. What is the angle next to it on the same line (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 99°. What is the angle next to it on the same line (in degrees)?
  12. 12.What is the complement of 61° (in degrees)?
  13. 13.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the complement of 15° (in degrees)?
  15. 15.What is the complement of 83° (in degrees)?
  16. 16.Are 53° and 127° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  17. 17.What is the supplement of 139° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 54°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.What is the supplement of 131° (in degrees)?
  20. 20.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 59°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 58°. What is its alternate interior angle (in degrees)?
  23. 23.What is the supplement of 151° (in degrees)?
  24. 24.Are 30° and 60° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  25. 25.What is the supplement of 24° (in degrees)?
  26. 26.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 98°. What is the angle next to it on the same line (in degrees)?
  28. 28.What is the supplement of 138° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 115°. What is its alternate interior angle (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 93°. What is the angle next to it on the same line (in degrees)?
  31. 31.What is the supplement of 129° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 60°. What is the angle vertically opposite to it (in degrees)?
  33. 33.What is the supplement of 150° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One angle is 52°. What is its corresponding angle (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 38°. What is its corresponding angle (in degrees)?
  36. 36.What is the supplement of 36° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 50°. What is its corresponding angle (in degrees)?
  38. 38.What is the supplement of 40° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One angle is 100°. What is its corresponding angle (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 22°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 147
  2. Neither
  3. 91
  4. 143
  5. 142
  6. 165
  7. 49
  8. Neither
  9. 127
  10. 106
  11. 81
  12. 29
  13. 59
  14. 75
  15. 7
  16. Supplementary
  17. 41
  18. 126
  19. 49
  20. 57
  21. 59
  22. 58
  23. 29
  24. Complementary
  25. 156
  26. 56
  27. 82
  28. 42
  29. 115
  30. 87
  31. 51
  32. 60
  33. 30
  34. 52
  35. 38
  36. 144
  37. 50
  38. 140
  39. 100
  40. 158

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