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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 272 · 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 85°. What is its alternate interior angle (in degrees)?
  2. 2.Are 55° and 35° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  3. 3.Two straight lines cross each other. One of the angles formed is 87°. What is the angle vertically opposite to it (in degrees)?
  4. 4.What is the complement of 47° (in degrees)?
  5. 5.Are 31° and 149° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  6. 6.Two straight lines cross each other. One of the angles formed is 41°. What is the angle next to it on the same line (in degrees)?
  7. 7.Two angles are supplementary. One is 100° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 101°. What is its corresponding angle (in degrees)?
  9. 9.What is the complement of 16° (in degrees)?
  10. 10.Two angles are supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the complement of 71° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 59°. What is the angle vertically opposite to it (in degrees)?
  13. 13.What is the supplement of 50° (in degrees)?
  14. 14.What is the complement of 41° (in degrees)?
  15. 15.What is the complement of 57° (in degrees)?
  16. 16.Are 58° and 32° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  17. 17.Two angles are supplementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the complement of 43° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 36°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 25°. What is the angle next to it on the same line (in degrees)?
  23. 23.What is the supplement of 129° (in degrees)?
  24. 24.What is the supplement of 78° (in degrees)?
  25. 25.What is the complement of 14° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 99°. What is its corresponding angle (in degrees)?
  27. 27.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the supplement of 48° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One angle is 144°. What is its corresponding angle (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One angle is 118°. What is its corresponding angle (in degrees)?
  31. 31.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 91°. What is the angle next to it on the same line (in degrees)?
  33. 33.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the supplement of 134° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 74°. What is its alternate interior angle (in degrees)?
  36. 36.What is the complement of 36° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 56°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 48°. What is its corresponding angle (in degrees)?
  39. 39.Are 18° and 125° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  40. 40.Two straight lines cross each other. One of the angles formed is 65°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 85
  2. Complementary
  3. 87
  4. 43
  5. Supplementary
  6. 139
  7. 140
  8. 101
  9. 74
  10. 95
  11. 19
  12. 59
  13. 130
  14. 49
  15. 33
  16. Complementary
  17. 106
  18. 57
  19. 73
  20. 47
  21. 36
  22. 155
  23. 51
  24. 102
  25. 76
  26. 99
  27. 68
  28. 132
  29. 144
  30. 118
  31. 80
  32. 89
  33. 69
  34. 46
  35. 74
  36. 54
  37. 56
  38. 48
  39. Neither
  40. 115

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