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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 642 · 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 145°. What is the angle next to it on the same line (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 78°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the supplement of 169° (in degrees)?
  5. 5.What is the complement of 44° (in degrees)?
  6. 6.What is the complement of 74° (in degrees)?
  7. 7.Two angles are supplementary. One is 74° 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 139°. What is the angle next to it on the same line (in degrees)?
  9. 9.Are 78° and 102° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  10. 10.Two straight lines cross each other. One of the angles formed is 83°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 26°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Two angles are complementary. One is 10° 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 57°. What is its other interior angle on the same side of the transversal (in degrees)?
  14. 14.What is the complement of 45° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 82°. What is its alternate interior angle (in degrees)?
  16. 16.What is the supplement of 13° (in degrees)?
  17. 17.What is the supplement of 31° (in degrees)?
  18. 18.What is the complement of 26° (in degrees)?
  19. 19.What is the complement of 17° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 148°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 100°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.What is the complement of 75° (in degrees)?
  23. 23.What is the supplement of 28° (in degrees)?
  24. 24.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the supplement of 33° (in degrees)?
  26. 26.What is the supplement of 120° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 46°. What is the angle vertically opposite to it (in degrees)?
  28. 28.What is the supplement of 167° (in degrees)?
  29. 29.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 27°. What is the angle next to it on the same line (in degrees)?
  31. 31.Are 29° and 151° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  32. 32.Are 79° and 11° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  33. 33.What is the supplement of 140° (in degrees)?
  34. 34.What is the complement of 37° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 54°. What is the angle next to it on the same line (in degrees)?
  36. 36.What is the supplement of 95° (in degrees)?
  37. 37.What is the complement of 35° (in degrees)?
  38. 38.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the supplement of 55° (in degrees)?
  40. 40.Are 20° and 160° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary

Answer key

  1. 35
  2. 78
  3. 66
  4. 11
  5. 46
  6. 16
  7. 127
  8. 41
  9. Supplementary
  10. 83
  11. 26
  12. 50
  13. 123
  14. 45
  15. 82
  16. 167
  17. 149
  18. 64
  19. 73
  20. 148
  21. 80
  22. 15
  23. 152
  24. 55
  25. 147
  26. 60
  27. 46
  28. 13
  29. 99
  30. 153
  31. Supplementary
  32. Complementary
  33. 40
  34. 53
  35. 126
  36. 85
  37. 55
  38. 62
  39. 125
  40. Supplementary

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