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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 839 · 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.Are 17° and 5° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  2. 2.What is the supplement of 167° (in degrees)?
  3. 3.Are 59° and 121° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 92°. What is its alternate interior angle (in degrees)?
  5. 5.What is the complement of 6° (in degrees)?
  6. 6.What is the complement of 55° (in degrees)?
  7. 7.What is the complement of 15° (in degrees)?
  8. 8.What is the complement of 19° (in degrees)?
  9. 9.Two angles are supplementary. One is 104° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 137°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Are 80° and 100° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 96°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 140°. What is its alternate interior angle (in degrees)?
  14. 14.What is the complement of 84° (in degrees)?
  15. 15.What is the supplement of 80° (in degrees)?
  16. 16.What is the supplement of 146° (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 134°. What is the angle vertically opposite to it (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 parallel lines are cut by a transversal. One interior angle is 127°. What is its alternate interior angle (in degrees)?
  20. 20.Are 31° and 59° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 53°. What is its alternate interior angle (in degrees)?
  22. 22.Are 45° and 45° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  23. 23.Two straight lines cross each other. One of the angles formed is 156°. What is the angle next to it on the same line (in degrees)?
  24. 24.What is the supplement of 102° (in degrees)?
  25. 25.What is the complement of 47° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 143°. What is the angle vertically opposite to it (in degrees)?
  27. 27.What is the supplement of 109° (in degrees)?
  28. 28.Two angles are supplementary. One is 130° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two angles are supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 56° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 45°. What is its alternate interior angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 125°. What is its alternate interior angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 139°. What is the angle next to it on the same line (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 31°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 127°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.What is the supplement of 34° (in degrees)?
  37. 37.What is the supplement of 46° (in degrees)?
  38. 38.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  39. 39.Are 70° and 110° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  40. 40.Are 24° and 156° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary

Answer key

  1. Neither
  2. 13
  3. Supplementary
  4. 92
  5. 84
  6. 35
  7. 75
  8. 71
  9. 142
  10. 137
  11. Supplementary
  12. 84
  13. 140
  14. 6
  15. 100
  16. 34
  17. 134
  18. 127
  19. 127
  20. Complementary
  21. 53
  22. Complementary
  23. 24
  24. 78
  25. 43
  26. 143
  27. 71
  28. 155
  29. 95
  30. 124
  31. 45
  32. 125
  33. 41
  34. 31
  35. 53
  36. 146
  37. 134
  38. 51
  39. Supplementary
  40. Supplementary

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