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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 273 · 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 complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 103°. What is its alternate interior angle (in degrees)?
  3. 3.What is the complement of 34° (in degrees)?
  4. 4.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  5. 5.Are 28° and 153° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  6. 6.What is the supplement of 22° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 45°. What is its other interior angle on the same side of the transversal (in degrees)?
  8. 8.Two angles are supplementary. One is 84° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the supplement of 75° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 96°. 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 49°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 117°. What is the angle next to it on the same line (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One angle is 140°. What is its corresponding angle (in degrees)?
  14. 14.What is the supplement of 87° (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 51°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Are 72° and 108° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  17. 17.What is the supplement of 28° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 73°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 53°. What is its corresponding angle (in degrees)?
  20. 20.Are 69° and 126° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  21. 21.Two straight lines cross each other. One of the angles formed is 50°. What is the angle vertically opposite to it (in degrees)?
  22. 22.What is the supplement of 37° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 74°. What is the angle vertically opposite to it (in degrees)?
  24. 24.What is the complement of 25° (in degrees)?
  25. 25.Two angles are supplementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  26. 26.Are 53° and 127° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  27. 27.Two angles are supplementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the supplement of 7° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One angle is 33°. What is its corresponding angle (in degrees)?
  30. 30.What is the complement of 6° (in degrees)?
  31. 31.Two angles are supplementary. One is 82° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One angle is 131°. What is its corresponding angle (in degrees)?
  33. 33.What is the complement of 35° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 114°. What is the angle next to it on the same line (in degrees)?
  35. 35.What is the supplement of 61° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 118°. What is its corresponding angle (in degrees)?
  37. 37.What is the complement of 65° (in degrees)?
  38. 38.What is the supplement of 81° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 145°. What is its alternate interior angle (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its alternate interior angle (in degrees)?

Answer key

  1. 77
  2. 103
  3. 56
  4. 61
  5. Neither
  6. 158
  7. 135
  8. 132
  9. 105
  10. 84
  11. 49
  12. 63
  13. 140
  14. 93
  15. 51
  16. Supplementary
  17. 152
  18. 107
  19. 53
  20. Neither
  21. 50
  22. 143
  23. 74
  24. 65
  25. 125
  26. Supplementary
  27. 123
  28. 173
  29. 33
  30. 84
  31. 131
  32. 131
  33. 55
  34. 66
  35. 119
  36. 118
  37. 25
  38. 99
  39. 145
  40. 48

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