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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 717 · 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 142°. What is its alternate interior angle (in degrees)?
  2. 2.Are 24° and 66° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  3. 3.Two straight lines cross each other. One of the angles formed is 28°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 100°. What is the angle next to it on the same line (in degrees)?
  5. 5.What is the complement of 13° (in degrees)?
  6. 6.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)?
  7. 7.Are 29° and 151° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  8. 8.Are 50° and 130° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  9. 9.Two straight lines cross each other. One of the angles formed is 30°. What is the angle next to it on the same line (in degrees)?
  10. 10.What is the complement of 61° (in degrees)?
  11. 11.What is the supplement of 165° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 90°. What is its alternate interior angle (in degrees)?
  13. 13.What is the complement of 66° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 41°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the complement of 78° (in degrees)?
  16. 16.What is the complement of 53° (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 123°. What is the angle next to it on the same line (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 67°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 148°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 73°. What is its corresponding angle (in degrees)?
  21. 21.What is the complement of 51° (in degrees)?
  22. 22.What is the complement of 72° (in degrees)?
  23. 23.What is the complement of 18° (in degrees)?
  24. 24.Two angles are supplementary. One is 114° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 22°. What is the angle next to it on the same line (in degrees)?
  26. 26.What is the supplement of 136° (in degrees)?
  27. 27.What is the complement of 59° (in degrees)?
  28. 28.What is the complement of 82° (in degrees)?
  29. 29.What is the supplement of 57° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One angle is 145°. What is its corresponding angle (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 35°. What is its corresponding angle (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 107°. What is the angle next to it on the same line (in degrees)?
  33. 33.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One angle is 95°. What is its corresponding angle (in degrees)?
  35. 35.What is the complement of 21° (in degrees)?
  36. 36.What is the supplement of 142° (in degrees)?
  37. 37.What is the supplement of 59° (in degrees)?
  38. 38.What is the supplement of 152° (in degrees)?
  39. 39.What is the supplement of 50° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 85°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 142
  2. Complementary
  3. 28
  4. 80
  5. 77
  6. 145
  7. Supplementary
  8. Supplementary
  9. 150
  10. 29
  11. 15
  12. 90
  13. 24
  14. 41
  15. 12
  16. 37
  17. 57
  18. 67
  19. 148
  20. 73
  21. 39
  22. 18
  23. 72
  24. 147
  25. 158
  26. 44
  27. 31
  28. 8
  29. 123
  30. 145
  31. 35
  32. 73
  33. 103
  34. 95
  35. 69
  36. 38
  37. 121
  38. 28
  39. 130
  40. 85

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