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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 121 · 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 complement of 84° (in degrees)?
  2. 2.Two angles are supplementary. One is 78° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the supplement of 54° (in degrees)?
  4. 4.What is the complement of 49° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 158°. What is the angle vertically opposite to it (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 48°. What is its corresponding angle (in degrees)?
  7. 7.What is the supplement of 86° (in degrees)?
  8. 8.Are 22° and 158° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  9. 9.What is the complement of 20° (in degrees)?
  10. 10.Are 21° and 159° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 90°. What is its other interior angle on the same side of the transversal (in degrees)?
  12. 12.What is the supplement of 9° (in degrees)?
  13. 13.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the supplement of 166° (in degrees)?
  15. 15.What is the supplement of 36° (in degrees)?
  16. 16.Are 35° and 55° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 68°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.Are 27° and 63° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  19. 19.Two parallel lines are cut by a transversal. One angle is 99°. What is its corresponding angle (in degrees)?
  20. 20.What is the complement of 37° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 80°. What is the angle next to it on the same line (in degrees)?
  22. 22.Are 76° and 14° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  23. 23.Two straight lines cross each other. One of the angles formed is 135°. What is the angle next to it on the same line (in degrees)?
  24. 24.What is the complement of 47° (in degrees)?
  25. 25.What is the supplement of 152° (in degrees)?
  26. 26.What is the supplement of 114° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 24°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Are 75° and 52° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  29. 29.What is the complement of 25° (in degrees)?
  30. 30.What is the supplement of 145° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 100°. What is its corresponding angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 146°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.What is the supplement of 165° (in degrees)?
  34. 34.What is the supplement of 105° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 148°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its alternate interior angle (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 125°. What is the angle vertically opposite to it (in degrees)?
  38. 38.What is the complement of 7° (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 138°. What is the angle next to it on the same line (in degrees)?
  40. 40.What is the supplement of 157° (in degrees)?

Answer key

  1. 6
  2. 129
  3. 126
  4. 41
  5. 158
  6. 48
  7. 94
  8. Supplementary
  9. 70
  10. Supplementary
  11. 90
  12. 171
  13. 56
  14. 14
  15. 144
  16. Complementary
  17. 112
  18. Complementary
  19. 99
  20. 53
  21. 100
  22. Complementary
  23. 45
  24. 43
  25. 28
  26. 66
  27. 24
  28. Neither
  29. 65
  30. 35
  31. 100
  32. 34
  33. 15
  34. 75
  35. 148
  36. 35
  37. 125
  38. 83
  39. 42
  40. 23

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