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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 826 · 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 62° and 37° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  2. 2.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)?
  3. 3.What is the complement of 54° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its alternate interior angle (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 37°. What is the angle vertically opposite to it (in degrees)?
  6. 6.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the complement of 16° (in degrees)?
  8. 8.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 24°. What is the angle next to it on the same line (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 85°. What is its corresponding angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One angle is 59°. What is its corresponding angle (in degrees)?
  12. 12.Two angles are supplementary. One is 108° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its alternate interior angle (in degrees)?
  14. 14.Are 17° and 73° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  15. 15.Two straight lines cross each other. One of the angles formed is 112°. What is the angle next to it on the same line (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.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)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 66°. What is its corresponding angle (in degrees)?
  19. 19.Two angles are supplementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 105°. What is its alternate interior angle (in degrees)?
  21. 21.What is the supplement of 11° (in degrees)?
  22. 22.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the supplement of 126° (in degrees)?
  24. 24.What is the complement of 38° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 113°. What is the angle next to it on the same line (in degrees)?
  26. 26.What is the supplement of 25° (in degrees)?
  27. 27.What is the complement of 68° (in degrees)?
  28. 28.Are 46° and 44° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  29. 29.Two straight lines cross each other. One of the angles formed is 32°. What is the angle next to it on the same line (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One angle is 36°. What is its corresponding angle (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 144°. What is its alternate interior angle (in degrees)?
  32. 32.Are 49° and 41° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  33. 33.What is the complement of 15° (in degrees)?
  34. 34.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  35. 35.Are 61° and 32° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 131°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.Are 38° and 36° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  38. 38.What is the supplement of 142° (in degrees)?
  39. 39.What is the supplement of 141° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 31°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. Neither
  2. 145
  3. 36
  4. 107
  5. 37
  6. 113
  7. 74
  8. 80
  9. 156
  10. 85
  11. 59
  12. 144
  13. 35
  14. Complementary
  15. 68
  16. 70
  17. 147
  18. 66
  19. 117
  20. 105
  21. 169
  22. 54
  23. 54
  24. 52
  25. 67
  26. 155
  27. 22
  28. Complementary
  29. 148
  30. 36
  31. 144
  32. Complementary
  33. 75
  34. 59
  35. Neither
  36. 49
  37. Neither
  38. 38
  39. 39
  40. 31

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