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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 854 · 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 109°. What is its alternate interior angle (in degrees)?
  2. 2.Are 30° and 31° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  3. 3.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  4. 4.Are 48° and 132° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  5. 5.Two straight lines cross each other. One of the angles formed is 84°. What is the angle vertically opposite to it (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 36°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 33°. What is the angle next to it on the same line (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 132°. What is its alternate interior angle (in degrees)?
  9. 9.What is the complement of 55° (in degrees)?
  10. 10.Two angles are supplementary. One is 140° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its alternate interior angle (in degrees)?
  12. 12.What is the supplement of 128° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One angle is 31°. What is its corresponding angle (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 53°. What is its alternate interior angle (in degrees)?
  15. 15.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)?
  16. 16.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the complement of 20° (in degrees)?
  18. 18.Are 18° and 162° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  19. 19.Two straight lines cross each other. One of the angles formed is 125°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 114°. What is its corresponding angle (in degrees)?
  21. 21.Are 30° and 150° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  22. 22.What is the complement of 81° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 65°. What is the angle vertically opposite to it (in degrees)?
  24. 24.What is the supplement of 135° (in degrees)?
  25. 25.Are 46° and 94° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  26. 26.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 102°. What is its corresponding angle (in degrees)?
  29. 29.What is the complement of 56° (in degrees)?
  30. 30.What is the complement of 30° (in degrees)?
  31. 31.What is the supplement of 72° (in degrees)?
  32. 32.What is the complement of 41° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 121°. What is its corresponding angle (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 48°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  37. 37.What is the complement of 74° (in degrees)?
  38. 38.What is the supplement of 86° (in degrees)?
  39. 39.Are 59° and 121° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  40. 40.Two straight lines cross each other. One of the angles formed is 66°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 109
  2. Neither
  3. 68
  4. Supplementary
  5. 84
  6. 144
  7. 147
  8. 132
  9. 35
  10. 160
  11. 130
  12. 52
  13. 31
  14. 53
  15. 153
  16. 64
  17. 70
  18. Supplementary
  19. 125
  20. 114
  21. Supplementary
  22. 9
  23. 65
  24. 45
  25. Neither
  26. 115
  27. 110
  28. 102
  29. 34
  30. 60
  31. 108
  32. 49
  33. 121
  34. 46
  35. 48
  36. 66
  37. 16
  38. 94
  39. Supplementary
  40. 114

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