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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 462 · 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 angles are supplementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 50°. What is the angle vertically opposite to it (in degrees)?
  3. 3.What is the supplement of 80° (in degrees)?
  4. 4.What is the supplement of 35° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 98°. What is its alternate interior angle (in degrees)?
  6. 6.What is the complement of 16° (in degrees)?
  7. 7.Are 37° and 131° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  8. 8.Two straight lines cross each other. One of the angles formed is 28°. What is the angle next to it on the same line (in degrees)?
  9. 9.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  10. 10.Are 17° and 163° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  11. 11.What is the complement of 61° (in degrees)?
  12. 12.What is the supplement of 33° (in degrees)?
  13. 13.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  14. 14.Are 72° and 44° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  15. 15.Are 49° and 115° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  16. 16.What is the complement of 11° (in degrees)?
  17. 17.What is the supplement of 111° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 97°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  20. 20.Are 15° and 165° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  21. 21.What is the complement of 41° (in degrees)?
  22. 22.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 31°. What is its alternate interior angle (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 157°. What is the angle next to it on the same line (in degrees)?
  25. 25.Are 53° and 70° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  26. 26.Are 23° and 157° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  27. 27.Two angles are supplementary. One is 114° more than the other. What is the bigger angle (in degrees)?
  28. 28.Are 31° and 59° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  29. 29.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 53° (in degrees)?
  31. 31.What is the supplement of 170° (in degrees)?
  32. 32.Are 27° and 33° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  33. 33.Two parallel lines are cut by a transversal. One angle is 80°. What is its corresponding angle (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 47°. What is the angle vertically opposite to it (in degrees)?
  35. 35.What is the complement of 76° (in degrees)?
  36. 36.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)?
  37. 37.What is the supplement of 156° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 148°. What is its alternate interior angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 39°. What is the angle next to it on the same line (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 141°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 123
  2. 50
  3. 100
  4. 145
  5. 98
  6. 74
  7. Neither
  8. 152
  9. 58
  10. Supplementary
  11. 29
  12. 147
  13. 151
  14. Neither
  15. Neither
  16. 79
  17. 69
  18. 97
  19. 69
  20. Supplementary
  21. 49
  22. 62
  23. 31
  24. 23
  25. Neither
  26. Supplementary
  27. 147
  28. Complementary
  29. 78
  30. 127
  31. 10
  32. Neither
  33. 80
  34. 47
  35. 14
  36. 63
  37. 24
  38. 148
  39. 141
  40. 141

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