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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 173 · 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 43°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Are 39° and 51° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  3. 3.Two straight lines cross each other. One of the angles formed is 23°. What is the angle next to it on the same line (in degrees)?
  4. 4.What is the supplement of 135° (in degrees)?
  5. 5.Are 32° and 148° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  6. 6.Two straight lines cross each other. One of the angles formed is 125°. What is the angle next to it on the same line (in degrees)?
  7. 7.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 138°. What is the angle next to it on the same line (in degrees)?
  9. 9.Are 59° and 86° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  10. 10.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 145°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 34°. What is its alternate interior angle (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 53°. What is its alternate interior angle (in degrees)?
  14. 14.What is the complement of 7° (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 88°. What is the angle next to it on the same line (in degrees)?
  16. 16.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 34° (in degrees)?
  18. 18.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  19. 19.Are 62° and 118° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  20. 20.Two straight lines cross each other. One of the angles formed is 62°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 113°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 33°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.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)?
  24. 24.What is the complement of 20° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 27°. What is the angle next to it on the same line (in degrees)?
  26. 26.What is the supplement of 17° (in degrees)?
  27. 27.Are 18° and 72° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  28. 28.What is the supplement of 86° (in degrees)?
  29. 29.What is the supplement of 154° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 90°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.What is the supplement of 143° (in degrees)?
  32. 32.What is the supplement of 119° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 53°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the complement of 61° (in degrees)?
  36. 36.What is the complement of 57° (in degrees)?
  37. 37.Are 34° and 146° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.What is the complement of 11° (in degrees)?
  39. 39.Are 13° and 85° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  40. 40.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 43
  2. Complementary
  3. 157
  4. 45
  5. Supplementary
  6. 55
  7. 122
  8. 42
  9. Neither
  10. 105
  11. 145
  12. 34
  13. 53
  14. 83
  15. 92
  16. 58
  17. 146
  18. 65
  19. Supplementary
  20. 62
  21. 113
  22. 147
  23. 36
  24. 70
  25. 153
  26. 163
  27. Complementary
  28. 94
  29. 26
  30. 90
  31. 37
  32. 61
  33. 53
  34. 48
  35. 29
  36. 33
  37. Supplementary
  38. 79
  39. Neither
  40. 94

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