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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 2 · 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 175° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 35°. What is the angle vertically opposite to it (in degrees)?
  3. 3.What is the supplement of 173° (in degrees)?
  4. 4.What is the complement of 13° (in degrees)?
  5. 5.Two angles are supplementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 102°. What is the angle next to it on the same line (in degrees)?
  7. 7.Are 65° and 22° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 58°. 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 84°. What is the angle next to it on the same line (in degrees)?
  10. 10.What is the supplement of 102° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 117°. What is the angle next to it on the same line (in degrees)?
  12. 12.What is the complement of 62° (in degrees)?
  13. 13.Are 32° and 58° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 65°. What is its alternate interior angle (in degrees)?
  15. 15.What is the supplement of 167° (in degrees)?
  16. 16.What is the supplement of 18° (in degrees)?
  17. 17.What is the complement of 28° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 113°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.What is the complement of 74° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 85°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.What is the supplement of 170° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 61°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.Are 76° and 78° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  24. 24.What is the complement of 47° (in degrees)?
  25. 25.Are 65° and 25° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  26. 26.What is the supplement of 97° (in degrees)?
  27. 27.What is the supplement of 125° (in degrees)?
  28. 28.What is the supplement of 10° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 52°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.What is the supplement of 160° (in degrees)?
  31. 31.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)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 72°. What is its alternate interior angle (in degrees)?
  33. 33.What is the supplement of 164° (in degrees)?
  34. 34.What is the supplement of 30° (in degrees)?
  35. 35.What is the supplement of 7° (in degrees)?
  36. 36.Two angles are supplementary. One is 100° more than the other. What is the bigger angle (in degrees)?
  37. 37.What is the complement of 34° (in degrees)?
  38. 38.What is the complement of 5° (in degrees)?
  39. 39.What is the supplement of 108° (in degrees)?
  40. 40.What is the supplement of 120° (in degrees)?

Answer key

  1. 5
  2. 35
  3. 7
  4. 77
  5. 102
  6. 78
  7. Neither
  8. 122
  9. 96
  10. 78
  11. 63
  12. 28
  13. Complementary
  14. 65
  15. 13
  16. 162
  17. 62
  18. 67
  19. 16
  20. 95
  21. 10
  22. 119
  23. Neither
  24. 43
  25. Complementary
  26. 83
  27. 55
  28. 170
  29. 128
  30. 20
  31. 44
  32. 72
  33. 16
  34. 150
  35. 173
  36. 140
  37. 56
  38. 85
  39. 72
  40. 60

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