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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 995 · 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 31° (in degrees)?
  2. 2.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One angle is 43°. What is its corresponding angle (in degrees)?
  4. 4.What is the complement of 8° (in degrees)?
  5. 5.What is the complement of 13° (in degrees)?
  6. 6.Are 36° and 54° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 64°. What is its alternate interior angle (in degrees)?
  8. 8.What is the complement of 78° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 146°. What is the angle next to it on the same line (in degrees)?
  10. 10.What is the supplement of 95° (in degrees)?
  11. 11.What is the supplement of 48° (in degrees)?
  12. 12.What is the supplement of 16° (in degrees)?
  13. 13.What is the complement of 33° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 58°. What is the angle next to it on the same line (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 107°. What is the angle next to it on the same line (in degrees)?
  16. 16.What is the complement of 68° (in degrees)?
  17. 17.What is the complement of 21° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its alternate interior angle (in degrees)?
  19. 19.What is the supplement of 32° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 111°. What is its corresponding angle (in degrees)?
  21. 21.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 116°. What is its alternate interior angle (in degrees)?
  23. 23.What is the supplement of 97° (in degrees)?
  24. 24.Are 33° and 103° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  25. 25.What is the complement of 73° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 69°. What is its alternate interior angle (in degrees)?
  27. 27.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 154°. What is the angle vertically opposite to it (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 46°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 140°. What is the angle next to it on the same line (in degrees)?
  31. 31.Two angles are supplementary. One is 112° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the supplement of 26° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 151°. What is the angle next to it on the same line (in degrees)?
  34. 34.What is the complement of 76° (in degrees)?
  35. 35.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the complement of 6° (in degrees)?
  37. 37.Are 44° and 136° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 113°. What is its other interior angle on the same side of the transversal (in degrees)?
  39. 39.Are 28° and 152° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  40. 40.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 149
  2. 54
  3. 43
  4. 82
  5. 77
  6. Complementary
  7. 64
  8. 12
  9. 34
  10. 85
  11. 132
  12. 164
  13. 57
  14. 122
  15. 73
  16. 22
  17. 69
  18. 91
  19. 148
  20. 111
  21. 105
  22. 116
  23. 83
  24. Neither
  25. 17
  26. 69
  27. 53
  28. 154
  29. 134
  30. 40
  31. 146
  32. 154
  33. 29
  34. 14
  35. 108
  36. 84
  37. Supplementary
  38. 67
  39. Supplementary
  40. 77

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