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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 553 · 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 straight lines cross each other. One of the angles formed is 89°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 54°. 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 angle is 36°. What is its corresponding angle (in degrees)?
  4. 4.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)?
  5. 5.What is the supplement of 41° (in degrees)?
  6. 6.What is the supplement of 140° (in degrees)?
  7. 7.Are 62° and 118° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  8. 8.Two straight lines cross each other. One of the angles formed is 54°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  10. 10.Are 69° and 21° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  11. 11.What is the complement of 29° (in degrees)?
  12. 12.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the supplement of 90° (in degrees)?
  14. 14.What is the complement of 45° (in degrees)?
  15. 15.What is the supplement of 73° (in degrees)?
  16. 16.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 115° (in degrees)?
  18. 18.What is the complement of 78° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 101°. What is its other interior angle on the same side of the transversal (in degrees)?
  20. 20.What is the supplement of 87° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 50°. What is the angle next to it on the same line (in degrees)?
  22. 22.What is the complement of 20° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 56°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 115°. What is its corresponding angle (in degrees)?
  25. 25.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)?
  26. 26.What is the complement of 61° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 78°. What is its corresponding angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 114°. What is its corresponding angle (in degrees)?
  29. 29.What is the complement of 79° (in degrees)?
  30. 30.Two angles are supplementary. One is 92° more than the other. What is the bigger angle (in degrees)?
  31. 31.What is the complement of 51° (in degrees)?
  32. 32.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the complement of 5° (in degrees)?
  34. 34.What is the complement of 47° (in degrees)?
  35. 35.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the supplement of 114° (in degrees)?
  37. 37.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)?
  38. 38.What is the supplement of 160° (in degrees)?
  39. 39.What is the complement of 34° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One angle is 45°. What is its corresponding angle (in degrees)?

Answer key

  1. 89
  2. 126
  3. 36
  4. 158
  5. 139
  6. 40
  7. Supplementary
  8. 54
  9. 64
  10. Complementary
  11. 61
  12. 78
  13. 90
  14. 45
  15. 107
  16. 99
  17. 65
  18. 12
  19. 79
  20. 93
  21. 130
  22. 70
  23. 56
  24. 115
  25. 123
  26. 29
  27. 78
  28. 114
  29. 11
  30. 136
  31. 39
  32. 67
  33. 85
  34. 43
  35. 60
  36. 66
  37. 145
  38. 20
  39. 56
  40. 45

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