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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 157 · 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 60° and 30° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 127°. What is its alternate interior angle (in degrees)?
  3. 3.What is the complement of 78° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 67°. What is its corresponding angle (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One angle is 127°. What is its corresponding angle (in degrees)?
  6. 6.What is the supplement of 8° (in degrees)?
  7. 7.Are 15° and 75° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  8. 8.Two angles are supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the complement of 76° (in degrees)?
  10. 10.What is the supplement of 37° (in degrees)?
  11. 11.What is the supplement of 92° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 25°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  14. 14.Are 35° and 123° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  15. 15.What is the complement of 26° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 71°. What is its alternate interior angle (in degrees)?
  17. 17.Are 29° and 151° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  18. 18.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)?
  19. 19.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 124°. What is its corresponding angle (in degrees)?
  21. 21.What is the supplement of 25° (in degrees)?
  22. 22.What is the supplement of 145° (in degrees)?
  23. 23.What is the supplement of 44° (in degrees)?
  24. 24.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the complement of 12° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 70°. What is its other interior angle on the same side of the transversal (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 132°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 60°. What is the angle next to it on the same line (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One angle is 90°. What is its corresponding angle (in degrees)?
  30. 30.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)?
  31. 31.Are 25° and 115° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  32. 32.What is the complement of 45° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 63°. What is its alternate interior angle (in degrees)?
  34. 34.What is the supplement of 119° (in degrees)?
  35. 35.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the supplement of 46° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 48°. What is its corresponding angle (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 97°. What is its alternate interior angle (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One angle is 131°. What is its corresponding angle (in degrees)?
  40. 40.What is the complement of 47° (in degrees)?

Answer key

  1. Complementary
  2. 127
  3. 12
  4. 67
  5. 127
  6. 172
  7. Complementary
  8. 93
  9. 14
  10. 143
  11. 88
  12. 25
  13. 52
  14. Neither
  15. 64
  16. 71
  17. Supplementary
  18. 35
  19. 50
  20. 124
  21. 155
  22. 35
  23. 136
  24. 70
  25. 78
  26. 110
  27. 132
  28. 120
  29. 90
  30. 137
  31. Neither
  32. 45
  33. 63
  34. 61
  35. 74
  36. 134
  37. 48
  38. 97
  39. 131
  40. 43

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