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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 806 · 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.Are 23° and 88° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  2. 2.Two parallel lines are cut by a transversal. One angle is 89°. What is its corresponding angle (in degrees)?
  3. 3.What is the supplement of 44° (in degrees)?
  4. 4.Are 30° and 150° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  5. 5.What is the complement of 16° (in degrees)?
  6. 6.What is the supplement of 63° (in degrees)?
  7. 7.Are 28° and 20° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  8. 8.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One angle is 58°. What is its corresponding angle (in degrees)?
  10. 10.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the supplement of 111° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 142°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.What is the complement of 45° (in degrees)?
  14. 14.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  15. 15.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)?
  16. 16.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 150°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 108°. What is the angle next to it on the same line (in degrees)?
  19. 19.What is the complement of 83° (in degrees)?
  20. 20.What is the supplement of 138° (in degrees)?
  21. 21.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)?
  22. 22.What is the supplement of 153° (in degrees)?
  23. 23.Two angles are supplementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 111°. What is its corresponding angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 103°. What is its alternate interior angle (in degrees)?
  26. 26.What is the complement of 27° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 30°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.What is the complement of 23° (in degrees)?
  30. 30.What is the supplement of 91° (in degrees)?
  31. 31.What is the supplement of 67° (in degrees)?
  32. 32.What is the complement of 29° (in degrees)?
  33. 33.Are 13° and 77° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 109°. What is its alternate interior angle (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 130°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 70°. What is the angle next to it on the same line (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 74°. What is its corresponding angle (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 129°. What is its other interior angle on the same side of the transversal (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its alternate interior angle (in degrees)?
  40. 40.What is the supplement of 157° (in degrees)?

Answer key

  1. Neither
  2. 89
  3. 136
  4. Supplementary
  5. 74
  6. 117
  7. Neither
  8. 49
  9. 58
  10. 107
  11. 69
  12. 38
  13. 45
  14. 58
  15. 158
  16. 69
  17. 30
  18. 72
  19. 7
  20. 42
  21. 84
  22. 27
  23. 109
  24. 111
  25. 103
  26. 63
  27. 30
  28. 70
  29. 67
  30. 89
  31. 113
  32. 61
  33. Complementary
  34. 109
  35. 130
  36. 110
  37. 74
  38. 51
  39. 118
  40. 23

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