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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 895 · 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 interior angle is 38°. What is its alternate interior angle (in degrees)?
  2. 2.Are 12° and 43° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  3. 3.What is the supplement of 35° (in degrees)?
  4. 4.What is the complement of 76° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One angle is 112°. What is its corresponding angle (in degrees)?
  6. 6.What is the supplement of 112° (in degrees)?
  7. 7.What is the supplement of 12° (in degrees)?
  8. 8.Are 80° and 10° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  9. 9.Are 12° and 168° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 119°. What is its alternate interior angle (in degrees)?
  11. 11.What is the supplement of 49° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 80°. What is the angle next to it on the same line (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 105°. What is its other interior angle on the same side of the transversal (in degrees)?
  14. 14.Are 20° and 160° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  15. 15.What is the supplement of 40° (in degrees)?
  16. 16.Are 47° and 43° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  17. 17.Two straight lines cross each other. One of the angles formed is 144°. What is the angle next to it on the same line (in degrees)?
  18. 18.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  20. 20.Are 36° and 54° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  21. 21.Two straight lines cross each other. One of the angles formed is 149°. What is the angle vertically opposite to it (in degrees)?
  22. 22.What is the complement of 38° (in degrees)?
  23. 23.What is the supplement of 14° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 81°. What is the angle next to it on the same line (in degrees)?
  25. 25.What is the supplement of 50° (in degrees)?
  26. 26.Are 30° and 60° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  27. 27.Are 57° and 123° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  28. 28.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  29. 29.What is the complement of 24° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 50°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 58°. What is its alternate interior angle (in degrees)?
  33. 33.What is the complement of 71° (in degrees)?
  34. 34.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  35. 35.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)?
  36. 36.Are 31° and 161° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  37. 37.What is the supplement of 37° (in degrees)?
  38. 38.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the supplement of 99° (in degrees)?
  40. 40.What is the complement of 11° (in degrees)?

Answer key

  1. 38
  2. Neither
  3. 145
  4. 14
  5. 112
  6. 68
  7. 168
  8. Complementary
  9. Supplementary
  10. 119
  11. 131
  12. 100
  13. 75
  14. Supplementary
  15. 140
  16. Complementary
  17. 36
  18. 62
  19. 150
  20. Complementary
  21. 149
  22. 52
  23. 166
  24. 99
  25. 130
  26. Complementary
  27. Supplementary
  28. 52
  29. 66
  30. 50
  31. 47
  32. 58
  33. 19
  34. 49
  35. 120
  36. Neither
  37. 143
  38. 69
  39. 81
  40. 79

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