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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 88 · 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 125° (in degrees)?
  2. 2.What is the supplement of 85° (in degrees)?
  3. 3.Are 40° and 50° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  4. 4.Are 17° and 73° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 100°. What is its alternate interior angle (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 126°. What is its alternate interior angle (in degrees)?
  7. 7.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 135°. What is the angle vertically opposite to it (in degrees)?
  9. 9.What is the complement of 74° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 26°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Are 62° and 28° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  12. 12.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 101°. What is the angle next to it on the same line (in degrees)?
  14. 14.Are 27° and 63° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  15. 15.Two parallel lines are cut by a transversal. One angle is 62°. What is its corresponding angle (in degrees)?
  16. 16.Two angles are supplementary. One is 104° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the complement of 34° (in degrees)?
  18. 18.Are 54° and 36° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  19. 19.Two angles are complementary. One is 24° 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 57°. What is the angle next to it on the same line (in degrees)?
  21. 21.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the supplement of 53° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 88°. What is its alternate interior angle (in degrees)?
  24. 24.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two angles are supplementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 132°. What is its corresponding angle (in degrees)?
  27. 27.What is the supplement of 37° (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 32°. What is the angle vertically opposite to it (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 103°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.Are 79° and 101° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  31. 31.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the supplement of 39° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 121°. What is its corresponding angle (in degrees)?
  34. 34.What is the complement of 61° (in degrees)?
  35. 35.What is the supplement of 46° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 50°. What is its corresponding angle (in degrees)?
  37. 37.Are 77° and 43° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  38. 38.Are 54° and 52° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  39. 39.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 90°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 55
  2. 95
  3. Complementary
  4. Complementary
  5. 100
  6. 126
  7. 60
  8. 135
  9. 16
  10. 26
  11. Complementary
  12. 107
  13. 79
  14. Complementary
  15. 62
  16. 142
  17. 56
  18. Complementary
  19. 57
  20. 123
  21. 54
  22. 127
  23. 88
  24. 49
  25. 96
  26. 132
  27. 143
  28. 32
  29. 77
  30. Supplementary
  31. 66
  32. 141
  33. 121
  34. 29
  35. 134
  36. 50
  37. Neither
  38. Neither
  39. 113
  40. 90

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