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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 59 · 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 82°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 80°. What is the angle next to it on the same line (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 155°. What is the angle vertically opposite to it (in degrees)?
  4. 4.What is the complement of 49° (in degrees)?
  5. 5.What is the supplement of 141° (in degrees)?
  6. 6.What is the complement of 68° (in degrees)?
  7. 7.Are 47° and 43° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  8. 8.What is the complement of 54° (in degrees)?
  9. 9.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  10. 10.What is the complement of 63° (in degrees)?
  11. 11.What is the complement of 65° (in degrees)?
  12. 12.Are 70° and 20° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  13. 13.Two straight lines cross each other. One of the angles formed is 35°. What is the angle next to it on the same line (in degrees)?
  14. 14.Are 12° and 78° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  15. 15.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the complement of 6° (in degrees)?
  17. 17.What is the supplement of 147° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 49°. What is its corresponding angle (in degrees)?
  19. 19.Two angles are supplementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 127°. What is the angle vertically opposite to it (in degrees)?
  21. 21.What is the supplement of 139° (in degrees)?
  22. 22.What is the supplement of 26° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 55°. What is its corresponding angle (in degrees)?
  24. 24.What is the complement of 21° (in degrees)?
  25. 25.What is the supplement of 78° (in degrees)?
  26. 26.Are 71° and 109° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  27. 27.Two straight lines cross each other. One of the angles formed is 150°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 81°. What is its corresponding angle (in degrees)?
  29. 29.What is the complement of 10° (in degrees)?
  30. 30.What is the complement of 80° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 54°. What is its corresponding angle (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 39°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Are 39° and 51° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  34. 34.What is the supplement of 52° (in degrees)?
  35. 35.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the complement of 39° (in degrees)?
  37. 37.What is the complement of 73° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 115°. What is its alternate interior angle (in degrees)?
  39. 39.What is the complement of 41° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 55°. What is its other interior angle on the same side of the transversal (in degrees)?

Answer key

  1. 98
  2. 100
  3. 155
  4. 41
  5. 39
  6. 22
  7. Complementary
  8. 36
  9. 60
  10. 27
  11. 25
  12. Complementary
  13. 145
  14. Complementary
  15. 157
  16. 84
  17. 33
  18. 49
  19. 114
  20. 127
  21. 41
  22. 154
  23. 55
  24. 69
  25. 102
  26. Supplementary
  27. 150
  28. 81
  29. 80
  30. 10
  31. 54
  32. 39
  33. Complementary
  34. 128
  35. 149
  36. 51
  37. 17
  38. 115
  39. 49
  40. 125

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