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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 692 · 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 144° (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 75°. What is its other interior angle on the same side of the transversal (in degrees)?
  3. 3.What is the complement of 35° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 70°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 93°. What is the angle next to it on the same line (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 32°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 142°. What is its other interior angle on the same side of the transversal (in degrees)?
  8. 8.What is the complement of 83° (in degrees)?
  9. 9.What is the supplement of 50° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 58°. What is its corresponding angle (in degrees)?
  11. 11.What is the supplement of 113° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One angle is 70°. What is its corresponding angle (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 79°. What is its other interior angle on the same side of the transversal (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 121°. What is its alternate interior angle (in degrees)?
  15. 15.What is the complement of 54° (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 94°. What is the angle vertically opposite to it (in degrees)?
  17. 17.What is the supplement of 124° (in degrees)?
  18. 18.What is the supplement of 152° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its other interior angle on the same side of the transversal (in degrees)?
  20. 20.What is the complement of 34° (in degrees)?
  21. 21.What is the complement of 80° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 33°. What is the angle next to it on the same line (in degrees)?
  23. 23.What is the complement of 7° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 131°. What is the angle next to it on the same line (in degrees)?
  25. 25.What is the supplement of 76° (in degrees)?
  26. 26.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 53°. What is its corresponding angle (in degrees)?
  28. 28.What is the complement of 85° (in degrees)?
  29. 29.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  30. 30.Are 14° and 166° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  31. 31.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)?
  32. 32.What is the supplement of 65° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 26°. What is the angle next to it on the same line (in degrees)?
  34. 34.What is the complement of 68° (in degrees)?
  35. 35.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  36. 36.Are 12° and 168° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  37. 37.Are 45° and 66° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  38. 38.What is the complement of 14° (in degrees)?
  39. 39.Are 37° and 53° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  40. 40.Are 18° and 11° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither

Answer key

  1. 36
  2. 105
  3. 55
  4. 70
  5. 87
  6. 32
  7. 38
  8. 7
  9. 130
  10. 58
  11. 67
  12. 70
  13. 101
  14. 121
  15. 36
  16. 94
  17. 56
  18. 28
  19. 123
  20. 56
  21. 10
  22. 147
  23. 83
  24. 49
  25. 104
  26. 78
  27. 53
  28. 5
  29. 57
  30. Supplementary
  31. 150
  32. 115
  33. 154
  34. 22
  35. 73
  36. Supplementary
  37. Neither
  38. 76
  39. Complementary
  40. Neither

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