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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 572 · 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 52° more than the other. What is the bigger angle (in degrees)?
  2. 2.Are 43° and 12° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  3. 3.Are 67° and 113° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  4. 4.Two angles are supplementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the supplement of 145° (in degrees)?
  6. 6.What is the supplement of 109° (in degrees)?
  7. 7.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two angles are supplementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the supplement of 55° (in degrees)?
  10. 10.Are 17° and 163° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  11. 11.What is the supplement of 12° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 137°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.What is the supplement of 40° (in degrees)?
  14. 14.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)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 30°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 53°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.What is the supplement of 66° (in degrees)?
  20. 20.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 34°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 123°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Are 60° and 43° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 81°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.Are 72° and 18° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  26. 26.What is the complement of 58° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its alternate interior angle (in degrees)?
  28. 28.What is the complement of 60° (in degrees)?
  29. 29.What is the complement of 21° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 154°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 143°. What is its alternate interior angle (in degrees)?
  32. 32.What is the complement of 44° (in degrees)?
  33. 33.What is the supplement of 173° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 112°. What is the angle next to it on the same line (in degrees)?
  36. 36.What is the complement of 29° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 23°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 71°. What is its corresponding angle (in degrees)?
  39. 39.Two angles are supplementary. One is 78° more than the other. What is the bigger angle (in degrees)?
  40. 40.Are 36° and 54° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither

Answer key

  1. 71
  2. Neither
  3. Supplementary
  4. 96
  5. 35
  6. 71
  7. 80
  8. 101
  9. 125
  10. Supplementary
  11. 168
  12. 43
  13. 140
  14. 88
  15. 150
  16. 115
  17. 97
  18. 127
  19. 114
  20. 78
  21. 34
  22. 123
  23. Neither
  24. 99
  25. Complementary
  26. 32
  27. 130
  28. 30
  29. 69
  30. 154
  31. 143
  32. 46
  33. 7
  34. 124
  35. 68
  36. 61
  37. 23
  38. 71
  39. 129
  40. Complementary

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