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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 708 · 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 44° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 75°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 29°. What is the angle next to it on the same line (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 107°. What is the angle next to it on the same line (in degrees)?
  5. 5.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the complement of 15° (in degrees)?
  7. 7.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 9° (in degrees)?
  9. 9.Are 16° and 74° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  10. 10.Are 66° and 24° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  11. 11.Two straight lines cross each other. One of the angles formed is 84°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 53°. What is its alternate interior angle (in degrees)?
  13. 13.What is the complement of 25° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 90°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the complement of 72° (in degrees)?
  16. 16.Are 31° and 149° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  17. 17.Two straight lines cross each other. One of the angles formed is 92°. What is the angle vertically opposite to it (in degrees)?
  18. 18.What is the complement of 47° (in degrees)?
  19. 19.What is the supplement of 56° (in degrees)?
  20. 20.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the supplement of 152° (in degrees)?
  22. 22.Are 57° and 10° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  23. 23.What is the supplement of 115° (in degrees)?
  24. 24.What is the supplement of 167° (in degrees)?
  25. 25.What is the supplement of 46° (in degrees)?
  26. 26.Are 21° and 69° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  27. 27.What is the supplement of 103° (in degrees)?
  28. 28.What is the supplement of 142° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 44°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One angle is 138°. What is its corresponding angle (in degrees)?
  31. 31.Two angles are supplementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the supplement of 36° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 93°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 78°. What is its alternate interior angle (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 143°. What is its corresponding angle (in degrees)?
  36. 36.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  37. 37.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  38. 38.What is the supplement of 21° (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 86°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Are 30° and 150° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither

Answer key

  1. 46
  2. 75
  3. 151
  4. 73
  5. 108
  6. 75
  7. 64
  8. 81
  9. Complementary
  10. Complementary
  11. 84
  12. 53
  13. 65
  14. 90
  15. 18
  16. Supplementary
  17. 92
  18. 43
  19. 124
  20. 80
  21. 28
  22. Neither
  23. 65
  24. 13
  25. 134
  26. Complementary
  27. 77
  28. 38
  29. 136
  30. 138
  31. 106
  32. 144
  33. 93
  34. 78
  35. 143
  36. 78
  37. 55
  38. 159
  39. 86
  40. Supplementary

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