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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 429 · 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 83° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 81°. What is the angle next to it on the same line (in degrees)?
  3. 3.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 147°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.What is the supplement of 109° (in degrees)?
  6. 6.What is the supplement of 159° (in degrees)?
  7. 7.What is the complement of 57° (in degrees)?
  8. 8.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)?
  9. 9.Two straight lines cross each other. One of the angles formed is 39°. What is the angle vertically opposite to it (in degrees)?
  10. 10.What is the complement of 70° (in degrees)?
  11. 11.Are 11° and 169° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  12. 12.Two straight lines cross each other. One of the angles formed is 124°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Are 15° and 75° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  14. 14.What is the complement of 67° (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 20°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 87°. What is its corresponding angle (in degrees)?
  17. 17.Are 40° and 140° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  18. 18.Are 29° and 61° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  19. 19.Are 54° and 154° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  20. 20.What is the complement of 60° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 120°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the complement of 39° (in degrees)?
  24. 24.What is the complement of 44° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One angle is 122°. What is its corresponding angle (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 94°. What is the angle vertically opposite to it (in degrees)?
  27. 27.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)?
  28. 28.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 148°. What is the angle vertically opposite to it (in degrees)?
  30. 30.What is the complement of 27° (in degrees)?
  31. 31.What is the complement of 23° (in degrees)?
  32. 32.Are 60° and 30° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  33. 33.Two straight lines cross each other. One of the angles formed is 30°. What is the angle next to it on the same line (in degrees)?
  34. 34.What is the complement of 81° (in degrees)?
  35. 35.Two angles are supplementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  37. 37.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 138°. What is its corresponding angle (in degrees)?
  39. 39.Two angles are supplementary. One is 88° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 7
  2. 99
  3. 66
  4. 33
  5. 71
  6. 21
  7. 33
  8. 127
  9. 39
  10. 20
  11. Supplementary
  12. 124
  13. Complementary
  14. 23
  15. 20
  16. 87
  17. Supplementary
  18. Complementary
  19. Neither
  20. 30
  21. 60
  22. 68
  23. 51
  24. 46
  25. 122
  26. 94
  27. 78
  28. 48
  29. 148
  30. 63
  31. 67
  32. Complementary
  33. 150
  34. 9
  35. 102
  36. 115
  37. 50
  38. 138
  39. 134
  40. 52

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