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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 644 · 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 parallel lines are cut by a transversal. One angle is 109°. What is its corresponding angle (in degrees)?
  2. 2.Two angles are supplementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the supplement of 10° (in degrees)?
  4. 4.Are 12° and 168° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  5. 5.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 102°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.Are 19° and 71° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  8. 8.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two angles are supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two angles are supplementary. One is 84° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 75°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 24°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 71°. What is its alternate interior angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 143°. What is its corresponding angle (in degrees)?
  17. 17.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 53°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 146°. What is the angle next to it on the same line (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 54°. What is the angle vertically opposite to it (in degrees)?
  21. 21.What is the complement of 28° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One angle is 149°. What is its corresponding angle (in degrees)?
  23. 23.What is the complement of 22° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 41°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Are 53° and 127° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  26. 26.What is the complement of 59° (in degrees)?
  27. 27.Are 80° and 100° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  28. 28.Two parallel lines are cut by a transversal. One angle is 30°. What is its corresponding angle (in degrees)?
  29. 29.What is the supplement of 84° (in degrees)?
  30. 30.What is the complement of 23° (in degrees)?
  31. 31.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 92°. What is its alternate interior angle (in degrees)?
  33. 33.What is the supplement of 115° (in degrees)?
  34. 34.What is the complement of 26° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 127°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 56°. What is the angle vertically opposite to it (in degrees)?
  37. 37.What is the complement of 25° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 45°. What is the angle next to it on the same line (in degrees)?
  39. 39.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  40. 40.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)?

Answer key

  1. 109
  2. 112
  3. 170
  4. Supplementary
  5. 115
  6. 78
  7. Complementary
  8. 48
  9. 93
  10. 132
  11. 75
  12. 61
  13. 122
  14. 24
  15. 71
  16. 143
  17. 143
  18. 127
  19. 34
  20. 54
  21. 62
  22. 149
  23. 68
  24. 41
  25. Supplementary
  26. 31
  27. Supplementary
  28. 30
  29. 96
  30. 67
  31. 98
  32. 92
  33. 65
  34. 64
  35. 127
  36. 56
  37. 65
  38. 135
  39. 50
  40. 124

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