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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 986 · 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 supplement of 168° (in degrees)?
  2. 2.Are 63° and 117° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  3. 3.Are 49° and 29° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  4. 4.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  6. 6.Are 40° and 50° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  7. 7.Two angles are supplementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 55°. What is its alternate interior angle (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 68°. What is the angle vertically opposite to it (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 69°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Are 40° and 53° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  12. 12.What is the complement of 51° (in degrees)?
  13. 13.Are 46° and 109° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  14. 14.Two straight lines cross each other. One of the angles formed is 93°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 47°. What is the angle next to it on the same line (in degrees)?
  16. 16.What is the complement of 38° (in degrees)?
  17. 17.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 149°. What is its corresponding angle (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 83°. What is the angle next to it on the same line (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 110°. What is its corresponding angle (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 126°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Are 24° and 66° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  23. 23.Two parallel lines are cut by a transversal. One angle is 102°. What is its corresponding angle (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 84°. What is its alternate interior angle (in degrees)?
  25. 25.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  26. 26.Are 22° and 158° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  27. 27.What is the complement of 39° (in degrees)?
  28. 28.What is the complement of 15° (in degrees)?
  29. 29.Are 27° and 63° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  30. 30.What is the supplement of 65° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 126°. What is the angle next to it on the same line (in degrees)?
  32. 32.Are 59° and 31° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  33. 33.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the supplement of 18° (in degrees)?
  35. 35.What is the complement of 73° (in degrees)?
  36. 36.Two angles are supplementary. One is 90° more than the other. What is the bigger angle (in degrees)?
  37. 37.Two angles are supplementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  38. 38.What is the supplement of 24° (in degrees)?
  39. 39.What is the complement of 52° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 54°. What is its alternate interior angle (in degrees)?

Answer key

  1. 12
  2. Supplementary
  3. Neither
  4. 63
  5. 73
  6. Complementary
  7. 100
  8. 55
  9. 68
  10. 69
  11. Neither
  12. 39
  13. Neither
  14. 93
  15. 133
  16. 52
  17. 49
  18. 149
  19. 97
  20. 110
  21. 126
  22. Complementary
  23. 102
  24. 84
  25. 48
  26. Supplementary
  27. 51
  28. 75
  29. Complementary
  30. 115
  31. 54
  32. Complementary
  33. 107
  34. 162
  35. 17
  36. 135
  37. 120
  38. 156
  39. 38
  40. 54

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