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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 160 · 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 angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 140°. What is the angle vertically opposite to it (in degrees)?
  3. 3.What is the supplement of 123° (in degrees)?
  4. 4.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  6. 6.Are 73° and 17° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 92°. What is its other interior angle on the same side of the transversal (in degrees)?
  8. 8.Two angles are complementary. One is 2° 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 115°. What is the angle vertically opposite to it (in degrees)?
  10. 10.What is the complement of 52° (in degrees)?
  11. 11.What is the supplement of 59° (in degrees)?
  12. 12.What is the supplement of 117° (in degrees)?
  13. 13.Two angles are supplementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  14. 14.Are 65° and 25° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  15. 15.What is the supplement of 90° (in degrees)?
  16. 16.Are 13° and 77° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  17. 17.Two parallel lines are cut by a transversal. One angle is 103°. What is its corresponding angle (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 114°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 80°. What is its corresponding angle (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 121°. What is the angle next to it on the same line (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.Are 19° and 64° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  23. 23.Two straight lines cross each other. One of the angles formed is 106°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Two angles are supplementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One angle is 104°. What is its corresponding angle (in degrees)?
  26. 26.Are 49° and 41° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  27. 27.Are 30° and 150° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  28. 28.Are 40° and 14° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  29. 29.What is the complement of 47° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One angle is 127°. What is its corresponding angle (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 109°. What is the angle next to it on the same line (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One angle is 39°. What is its corresponding angle (in degrees)?
  33. 33.Are 11° and 142° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  34. 34.Two straight lines cross each other. One of the angles formed is 125°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two angles are supplementary. One is 74° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 121°. What is its alternate interior angle (in degrees)?
  37. 37.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)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its alternate interior angle (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 52°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 54
  2. 140
  3. 57
  4. 75
  5. 94
  6. Complementary
  7. 88
  8. 46
  9. 115
  10. 38
  11. 121
  12. 63
  13. 100
  14. Complementary
  15. 90
  16. Complementary
  17. 103
  18. 66
  19. 80
  20. 59
  21. 120
  22. Neither
  23. 106
  24. 92
  25. 104
  26. Complementary
  27. Supplementary
  28. Neither
  29. 43
  30. 127
  31. 71
  32. 39
  33. Neither
  34. 125
  35. 127
  36. 121
  37. 130
  38. 130
  39. 128
  40. 63

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