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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 926 · 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.Are 36° and 54° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  2. 2.Two straight lines cross each other. One of the angles formed is 159°. What is the angle next to it on the same line (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One angle is 59°. What is its corresponding angle (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 126°. What is the angle next to it on the same line (in degrees)?
  5. 5.What is the complement of 28° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 84°. What is its corresponding angle (in degrees)?
  7. 7.What is the complement of 49° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 61°. What is the angle vertically opposite to it (in degrees)?
  9. 9.What is the supplement of 47° (in degrees)?
  10. 10.What is the complement of 65° (in degrees)?
  11. 11.Are 66° and 136° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 49°. What is its alternate interior angle (in degrees)?
  13. 13.Two angles are supplementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 142°. What is the angle next to it on the same line (in degrees)?
  15. 15.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)?
  16. 16.What is the supplement of 157° (in degrees)?
  17. 17.Are 16° and 74° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  18. 18.Two angles are supplementary. One is 96° 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 84°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 79°. What is the angle vertically opposite to it (in degrees)?
  21. 21.What is the supplement of 46° (in degrees)?
  22. 22.What is the complement of 17° (in degrees)?
  23. 23.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the complement of 60° (in degrees)?
  25. 25.What is the supplement of 73° (in degrees)?
  26. 26.What is the complement of 29° (in degrees)?
  27. 27.What is the complement of 6° (in degrees)?
  28. 28.Two angles are supplementary. One is 78° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 78°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 61°. What is its alternate interior angle (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 142°. What is its corresponding angle (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 62°. What is the angle vertically opposite to it (in degrees)?
  33. 33.What is the supplement of 116° (in degrees)?
  34. 34.What is the complement of 59° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 127°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.What is the supplement of 82° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 141°. What is its corresponding angle (in degrees)?
  38. 38.What is the complement of 57° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One angle is 101°. What is its corresponding angle (in degrees)?
  40. 40.Two angles are supplementary. One is 112° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. Complementary
  2. 21
  3. 59
  4. 54
  5. 62
  6. 84
  7. 41
  8. 61
  9. 133
  10. 25
  11. Neither
  12. 49
  13. 100
  14. 38
  15. 99
  16. 23
  17. Complementary
  18. 138
  19. 84
  20. 79
  21. 134
  22. 73
  23. 113
  24. 30
  25. 107
  26. 61
  27. 84
  28. 129
  29. 78
  30. 61
  31. 142
  32. 62
  33. 64
  34. 31
  35. 53
  36. 98
  37. 141
  38. 33
  39. 101
  40. 146

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