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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 196 · 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 angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 30°. What is its alternate interior angle (in degrees)?
  3. 3.Are 42° and 132° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  4. 4.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  5. 5.Are 12° and 168° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  6. 6.What is the supplement of 23° (in degrees)?
  7. 7.What is the supplement of 5° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 80°. What is the angle next to it on the same line (in degrees)?
  9. 9.Are 20° and 49° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  10. 10.Two parallel lines are cut by a transversal. One angle is 73°. What is its corresponding angle (in degrees)?
  11. 11.What is the supplement of 166° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 44°. What is its alternate interior angle (in degrees)?
  13. 13.Are 13° and 167° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  14. 14.What is the supplement of 175° (in degrees)?
  15. 15.Two angles are supplementary. One is 78° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the supplement of 170° (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 83°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Are 50° and 108° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  19. 19.Are 50° and 59° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  20. 20.Are 26° and 64° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 114°. What is its alternate interior angle (in degrees)?
  22. 22.Two angles are supplementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 37°. What is its corresponding angle (in degrees)?
  24. 24.What is the supplement of 147° (in degrees)?
  25. 25.Are 80° and 10° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  26. 26.Two straight lines cross each other. One of the angles formed is 77°. What is the angle next to it on the same line (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 92°. What is its corresponding angle (in degrees)?
  28. 28.What is the complement of 74° (in degrees)?
  29. 29.What is the complement of 59° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.What is the complement of 73° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.Two angles are supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the complement of 30° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 43°. What is the angle next to it on the same line (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 31°. What is the angle vertically opposite to it (in degrees)?
  37. 37.What is the supplement of 136° (in degrees)?
  38. 38.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the complement of 11° (in degrees)?
  40. 40.Are 40° and 152° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary

Answer key

  1. 66
  2. 30
  3. Neither
  4. 91
  5. Supplementary
  6. 157
  7. 175
  8. 100
  9. Neither
  10. 73
  11. 14
  12. 44
  13. Supplementary
  14. 5
  15. 129
  16. 10
  17. 83
  18. Neither
  19. Neither
  20. Complementary
  21. 114
  22. 96
  23. 37
  24. 33
  25. Complementary
  26. 103
  27. 92
  28. 16
  29. 31
  30. 120
  31. 17
  32. 76
  33. 95
  34. 60
  35. 137
  36. 31
  37. 44
  38. 52
  39. 79
  40. Neither

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