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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 96 · 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 86° (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 32°. What is its other interior angle on the same side of the transversal (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 45°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  6. 6.Are 52° and 10° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  7. 7.What is the supplement of 171° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 31°. What is its corresponding angle (in degrees)?
  9. 9.Are 55° and 63° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  10. 10.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)?
  11. 11.Two parallel lines are cut by a transversal. One angle is 41°. What is its corresponding angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 63°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 61°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Two angles are supplementary. One is 84° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 54°. What is its corresponding angle (in degrees)?
  17. 17.What is the complement of 15° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 36°. What is the angle vertically opposite to it (in degrees)?
  19. 19.What is the supplement of 7° (in degrees)?
  20. 20.What is the complement of 51° (in degrees)?
  21. 21.What is the supplement of 162° (in degrees)?
  22. 22.Two angles are supplementary. One is 130° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the complement of 83° (in degrees)?
  24. 24.What is the supplement of 78° (in degrees)?
  25. 25.What is the supplement of 99° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 149°. What is the angle next to it on the same line (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 128°. What is its corresponding angle (in degrees)?
  28. 28.What is the supplement of 70° (in degrees)?
  29. 29.What is the complement of 24° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 143°. What is the angle next to it on the same line (in degrees)?
  31. 31.What is the supplement of 105° (in degrees)?
  32. 32.Two angles are supplementary. One is 140° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 125°. What is the angle next to it on the same line (in degrees)?
  34. 34.What is the supplement of 84° (in degrees)?
  35. 35.What is the complement of 17° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 113°. What is the angle vertically opposite to it (in degrees)?
  37. 37.What is the complement of 79° (in degrees)?
  38. 38.What is the complement of 57° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 121°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.What is the supplement of 106° (in degrees)?

Answer key

  1. 94
  2. 148
  3. 62
  4. 135
  5. 107
  6. Neither
  7. 9
  8. 31
  9. Neither
  10. 134
  11. 41
  12. 117
  13. 61
  14. 132
  15. 46
  16. 54
  17. 75
  18. 36
  19. 173
  20. 39
  21. 18
  22. 155
  23. 7
  24. 102
  25. 81
  26. 31
  27. 128
  28. 110
  29. 66
  30. 37
  31. 75
  32. 160
  33. 55
  34. 96
  35. 73
  36. 113
  37. 11
  38. 33
  39. 59
  40. 74

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