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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 709 · 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.Two parallel lines are cut by a transversal. One interior angle is 82°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  3. 3.Are 10° and 170° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  4. 4.Two parallel lines are cut by a transversal. One angle is 59°. What is its corresponding angle (in degrees)?
  5. 5.What is the complement of 25° (in degrees)?
  6. 6.Are 68° and 112° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  7. 7.Two straight lines cross each other. One of the angles formed is 73°. What is the angle next to it on the same line (in degrees)?
  8. 8.Are 37° and 103° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  9. 9.Are 44° and 46° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  10. 10.Two straight lines cross each other. One of the angles formed is 95°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the complement of 84° (in degrees)?
  12. 12.What is the supplement of 111° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 57°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Are 43° and 47° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  15. 15.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?
  16. 16.Are 40° and 78° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  17. 17.What is the supplement of 163° (in degrees)?
  18. 18.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  19. 19.Are 12° and 78° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  20. 20.Two angles are supplementary. One is 116° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the complement of 70° (in degrees)?
  22. 22.What is the supplement of 7° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 90°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 78°. What is the angle next to it on the same line (in degrees)?
  25. 25.Are 17° and 122° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  26. 26.What is the supplement of 148° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 114°. What is its corresponding angle (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 26°. What is the angle vertically opposite to it (in degrees)?
  29. 29.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 155°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 85°. What is its alternate interior angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 65°. What is its alternate interior angle (in degrees)?
  33. 33.What is the complement of 50° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 72°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 52°. What is the angle next to it on the same line (in degrees)?
  37. 37.What is the supplement of 115° (in degrees)?
  38. 38.What is the supplement of 152° (in degrees)?
  39. 39.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  40. 40.Are 22° and 68° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither

Answer key

  1. 98
  2. 63
  3. Supplementary
  4. 59
  5. 65
  6. Supplementary
  7. 107
  8. Neither
  9. Complementary
  10. 95
  11. 6
  12. 69
  13. 57
  14. Complementary
  15. 157
  16. Neither
  17. 17
  18. 72
  19. Complementary
  20. 148
  21. 20
  22. 173
  23. 90
  24. 102
  25. Neither
  26. 32
  27. 114
  28. 26
  29. 108
  30. 155
  31. 85
  32. 65
  33. 40
  34. 72
  35. 62
  36. 128
  37. 65
  38. 28
  39. 80
  40. Complementary

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