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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 78 · 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 60° (in degrees)?
  2. 2.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the complement of 28° (in degrees)?
  4. 4.Two angles are supplementary. One is 90° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two angles are supplementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 91°. What is its corresponding angle (in degrees)?
  7. 7.Two angles are complementary. One is 36° 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 136°. What is its other interior angle on the same side of the transversal (in degrees)?
  9. 9.What is the supplement of 69° (in degrees)?
  10. 10.What is the supplement of 88° (in degrees)?
  11. 11.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  12. 12.Are 49° and 131° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  13. 13.Two straight lines cross each other. One of the angles formed is 122°. What is the angle next to it on the same line (in degrees)?
  14. 14.What is the supplement of 56° (in degrees)?
  15. 15.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the complement of 22° (in degrees)?
  17. 17.What is the complement of 37° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 56°. What is the angle vertically opposite to it (in degrees)?
  20. 20.What is the supplement of 99° (in degrees)?
  21. 21.What is the complement of 74° (in degrees)?
  22. 22.What is the complement of 55° (in degrees)?
  23. 23.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  24. 24.Are 19° and 131° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  25. 25.What is the supplement of 7° (in degrees)?
  26. 26.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)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 49°. What is its corresponding angle (in degrees)?
  28. 28.Are 40° and 140° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  29. 29.Two straight lines cross each other. One of the angles formed is 42°. What is the angle next to it on the same line (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 108°. What is the angle next to it on the same line (in degrees)?
  31. 31.Two angles are complementary. One is 8° 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 130°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 106°. What is the angle vertically opposite to it (in degrees)?
  34. 34.What is the complement of 14° (in degrees)?
  35. 35.What is the complement of 24° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 82°. What is the angle vertically opposite to it (in degrees)?
  37. 37.What is the complement of 23° (in degrees)?
  38. 38.Two angles are supplementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 69°. What is the angle next to it on the same line (in degrees)?
  40. 40.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)?

Answer key

  1. 30
  2. 143
  3. 62
  4. 135
  5. 92
  6. 91
  7. 63
  8. 44
  9. 111
  10. 92
  11. 64
  12. Supplementary
  13. 58
  14. 124
  15. 52
  16. 68
  17. 53
  18. 145
  19. 56
  20. 81
  21. 16
  22. 35
  23. 57
  24. Neither
  25. 173
  26. 90
  27. 49
  28. Supplementary
  29. 138
  30. 72
  31. 49
  32. 50
  33. 106
  34. 76
  35. 66
  36. 82
  37. 67
  38. 102
  39. 111
  40. 100

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