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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 492 · 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 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)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 147°. What is its corresponding angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 71°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 143°. What is the angle next to it on the same line (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 134°. What is its alternate interior angle (in degrees)?
  8. 8.What is the supplement of 74° (in degrees)?
  9. 9.What is the complement of 56° (in degrees)?
  10. 10.What is the complement of 43° (in degrees)?
  11. 11.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  12. 12.What is the supplement of 87° (in degrees)?
  13. 13.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the complement of 30° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One angle is 68°. What is its corresponding angle (in degrees)?
  16. 16.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)?
  17. 17.What is the complement of 73° (in degrees)?
  18. 18.What is the complement of 29° (in degrees)?
  19. 19.Are 54° and 126° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  20. 20.Two straight lines cross each other. One of the angles formed is 24°. What is the angle next to it on the same line (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 73°. What is its alternate interior angle (in degrees)?
  22. 22.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)?
  23. 23.Two straight lines cross each other. One of the angles formed is 45°. What is the angle vertically opposite to it (in degrees)?
  24. 24.What is the complement of 51° (in degrees)?
  25. 25.What is the supplement of 12° (in degrees)?
  26. 26.Are 38° and 45° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  27. 27.Are 50° and 130° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  28. 28.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  29. 29.Are 63° and 27° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  30. 30.Two straight lines cross each other. One of the angles formed is 101°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Are 47° and 43° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  32. 32.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 62°. What is its alternate interior angle (in degrees)?
  34. 34.Are 10° and 80° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  35. 35.Are 76° and 118° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  36. 36.Are 73° and 107° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  37. 37.Two parallel lines are cut by a transversal. One angle is 108°. What is its corresponding angle (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its other interior angle on the same side of the transversal (in degrees)?
  39. 39.Two angles are supplementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  40. 40.Are 17° and 73° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither

Answer key

  1. 72
  2. 147
  3. 123
  4. 71
  5. 67
  6. 37
  7. 134
  8. 106
  9. 34
  10. 47
  11. 73
  12. 93
  13. 53
  14. 60
  15. 68
  16. 102
  17. 17
  18. 61
  19. Supplementary
  20. 156
  21. 73
  22. 63
  23. 45
  24. 39
  25. 168
  26. Neither
  27. Supplementary
  28. 111
  29. Complementary
  30. 101
  31. Complementary
  32. 54
  33. 62
  34. Complementary
  35. Neither
  36. Supplementary
  37. 108
  38. 89
  39. 102
  40. Complementary

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