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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 731 · 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 parallel lines are cut by a transversal. One angle is 34°. What is its corresponding angle (in degrees)?
  2. 2.What is the complement of 17° (in degrees)?
  3. 3.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 126°. What is the angle next to it on the same line (in degrees)?
  5. 5.What is the supplement of 37° (in degrees)?
  6. 6.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)?
  7. 7.Two straight lines cross each other. One of the angles formed is 56°. What is the angle next to it on the same line (in degrees)?
  8. 8.Are 75° and 22° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  9. 9.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 69°. What is the angle next to it on the same line (in degrees)?
  11. 11.Are 66° and 118° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  12. 12.Are 30° and 150° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 63°. What is its other interior angle on the same side of the transversal (in degrees)?
  14. 14.What is the complement of 51° (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 117°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Are 64° and 116° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  17. 17.What is the complement of 30° (in degrees)?
  18. 18.Are 29° and 100° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  19. 19.Are 22° and 126° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  20. 20.Two parallel lines are cut by a transversal. One angle is 93°. What is its corresponding angle (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One angle is 96°. What is its corresponding angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One angle is 30°. What is its corresponding angle (in degrees)?
  23. 23.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the complement of 52° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 28°. What is the angle vertically opposite to it (in degrees)?
  26. 26.What is the complement of 68° (in degrees)?
  27. 27.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 39°. What is the angle vertically opposite to it (in degrees)?
  29. 29.Are 24° and 56° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  30. 30.What is the supplement of 60° (in degrees)?
  31. 31.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the complement of 24° (in degrees)?
  33. 33.Are 73° and 17° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  34. 34.Two straight lines cross each other. One of the angles formed is 113°. What is the angle next to it on the same line (in degrees)?
  35. 35.Are 30° and 163° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  36. 36.Are 14° and 166° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 94°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.What is the complement of 35° (in degrees)?
  39. 39.What is the complement of 48° (in degrees)?
  40. 40.What is the complement of 73° (in degrees)?

Answer key

  1. 34
  2. 73
  3. 55
  4. 54
  5. 143
  6. 66
  7. 124
  8. Neither
  9. 143
  10. 111
  11. Neither
  12. Supplementary
  13. 117
  14. 39
  15. 117
  16. Supplementary
  17. 60
  18. Neither
  19. Neither
  20. 93
  21. 96
  22. 30
  23. 70
  24. 38
  25. 28
  26. 22
  27. 67
  28. 39
  29. Neither
  30. 120
  31. 48
  32. 66
  33. Complementary
  34. 67
  35. Neither
  36. Supplementary
  37. 86
  38. 55
  39. 42
  40. 17

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