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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 915 · 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 89° (in degrees)?
  2. 2.What is the supplement of 152° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 146°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 64°. What is the angle next to it on the same line (in degrees)?
  5. 5.What is the complement of 31° (in degrees)?
  6. 6.Two angles are supplementary. One is 80° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  8. 8.Are 10° and 170° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  9. 9.Two straight lines cross each other. One of the angles formed is 52°. What is the angle vertically opposite to it (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 48°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Are 76° and 119° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  12. 12.Two straight lines cross each other. One of the angles formed is 98°. What is the angle vertically opposite to it (in degrees)?
  13. 13.What is the supplement of 42° (in degrees)?
  14. 14.Are 80° and 10° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  15. 15.Are 46° and 44° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  16. 16.Two parallel lines are cut by a transversal. One angle is 92°. What is its corresponding angle (in degrees)?
  17. 17.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the supplement of 163° (in degrees)?
  19. 19.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the complement of 33° (in degrees)?
  21. 21.What is the complement of 85° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 137°. What is the angle next to it on the same line (in degrees)?
  23. 23.Are 35° and 75° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 41°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.What is the complement of 82° (in degrees)?
  26. 26.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 39°. What is its alternate interior angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 124°. What is its corresponding angle (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.What is the complement of 79° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 124°. 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 49°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its alternate interior angle (in degrees)?
  35. 35.What is the complement of 77° (in degrees)?
  36. 36.What is the supplement of 74° (in degrees)?
  37. 37.Are 12° and 100° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 124°. What is its alternate interior angle (in degrees)?
  39. 39.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  40. 40.Are 44° and 136° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary

Answer key

  1. 91
  2. 28
  3. 146
  4. 116
  5. 59
  6. 130
  7. 98
  8. Supplementary
  9. 52
  10. 48
  11. Neither
  12. 98
  13. 138
  14. Complementary
  15. Complementary
  16. 92
  17. 55
  18. 17
  19. 80
  20. 57
  21. 5
  22. 43
  23. Neither
  24. 139
  25. 8
  26. 69
  27. 39
  28. 124
  29. 123
  30. 11
  31. 56
  32. 131
  33. 110
  34. 104
  35. 13
  36. 106
  37. Neither
  38. 124
  39. 47
  40. Supplementary

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