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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 270 · 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 132° (in degrees)?
  2. 2.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 81°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 92°. What is its alternate interior angle (in degrees)?
  5. 5.Are 72° and 18° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  6. 6.Are 20° and 160° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  7. 7.What is the supplement of 30° (in degrees)?
  8. 8.What is the supplement of 143° (in degrees)?
  9. 9.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  10. 10.What is the complement of 39° (in degrees)?
  11. 11.What is the supplement of 105° (in degrees)?
  12. 12.What is the supplement of 128° (in degrees)?
  13. 13.What is the supplement of 156° (in degrees)?
  14. 14.What is the complement of 48° (in degrees)?
  15. 15.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)?
  16. 16.What is the complement of 75° (in degrees)?
  17. 17.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (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 straight lines cross each other. One of the angles formed is 154°. What is the angle next to it on the same line (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the complement of 25° (in degrees)?
  23. 23.What is the complement of 18° (in degrees)?
  24. 24.What is the supplement of 125° (in degrees)?
  25. 25.What is the complement of 36° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 33°. What is the angle vertically opposite to it (in degrees)?
  27. 27.What is the supplement of 170° (in degrees)?
  28. 28.What is the complement of 62° (in degrees)?
  29. 29.What is the complement of 24° (in degrees)?
  30. 30.What is the supplement of 100° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 125°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 94°. What is the angle next to it on the same line (in degrees)?
  34. 34.What is the complement of 44° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 26°. What is the angle next to it on the same line (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 146°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 100°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.What is the supplement of 19° (in degrees)?
  39. 39.Are 21° and 159° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  40. 40.Two straight lines cross each other. One of the angles formed is 92°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 48
  2. 63
  3. 99
  4. 92
  5. Complementary
  6. Supplementary
  7. 150
  8. 37
  9. 76
  10. 51
  11. 75
  12. 52
  13. 24
  14. 42
  15. 141
  16. 15
  17. 150
  18. 62
  19. 26
  20. 70
  21. 55
  22. 65
  23. 72
  24. 55
  25. 54
  26. 33
  27. 10
  28. 28
  29. 66
  30. 80
  31. 125
  32. 97
  33. 86
  34. 46
  35. 154
  36. 34
  37. 80
  38. 161
  39. Supplementary
  40. 92

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