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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 104 · 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.What is the supplement of 123° (in degrees)?
  2. 2.What is the complement of 48° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 55°. What is the angle next to it on the same line (in degrees)?
  4. 4.Are 49° and 155° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  5. 5.Two straight lines cross each other. One of the angles formed is 61°. What is the angle vertically opposite to it (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 36°. What is its corresponding angle (in degrees)?
  7. 7.What is the supplement of 54° (in degrees)?
  8. 8.Two angles are supplementary. One is 90° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the complement of 66° (in degrees)?
  10. 10.What is the complement of 10° (in degrees)?
  11. 11.Are 65° and 115° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  12. 12.Are 52° and 55° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 85°. What is its alternate interior angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 34°. What is the angle next to it on the same line (in degrees)?
  15. 15.Are 44° and 46° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  16. 16.What is the complement of 8° (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 78°. What is the angle next to it on the same line (in degrees)?
  18. 18.What is the supplement of 121° (in degrees)?
  19. 19.What is the complement of 37° (in degrees)?
  20. 20.Are 23° and 100° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 55°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 98°. What is its corresponding angle (in degrees)?
  24. 24.What is the complement of 62° (in degrees)?
  25. 25.Two angles are supplementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 78°. What is its other interior angle on the same side of the transversal (in degrees)?
  27. 27.Are 17° and 163° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 37°. What is its alternate interior angle (in degrees)?
  29. 29.Two angles are supplementary. One is 88° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 23°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 33°. What is the angle vertically opposite to it (in degrees)?
  32. 32.What is the complement of 23° (in degrees)?
  33. 33.What is the complement of 34° (in degrees)?
  34. 34.Are 42° and 48° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  35. 35.What is the supplement of 133° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 160°. What is the angle next to it on the same line (in degrees)?
  37. 37.Are 38° and 100° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  38. 38.Two parallel lines are cut by a transversal. One angle is 75°. What is its corresponding angle (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its alternate interior angle (in degrees)?
  40. 40.What is the complement of 5° (in degrees)?

Answer key

  1. 57
  2. 42
  3. 125
  4. Neither
  5. 61
  6. 36
  7. 126
  8. 135
  9. 24
  10. 80
  11. Supplementary
  12. Neither
  13. 85
  14. 146
  15. Complementary
  16. 82
  17. 102
  18. 59
  19. 53
  20. Neither
  21. 125
  22. 77
  23. 98
  24. 28
  25. 101
  26. 102
  27. Supplementary
  28. 37
  29. 134
  30. 23
  31. 33
  32. 67
  33. 56
  34. Complementary
  35. 47
  36. 20
  37. Neither
  38. 75
  39. 48
  40. 85

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