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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 168 · 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 51° (in degrees)?
  2. 2.What is the supplement of 114° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 88°. What is the angle vertically opposite to it (in degrees)?
  4. 4.What is the complement of 64° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One angle is 117°. What is its corresponding angle (in degrees)?
  6. 6.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 78°. What is its alternate interior angle (in degrees)?
  8. 8.Two angles are supplementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the supplement of 85° (in degrees)?
  10. 10.What is the complement of 73° (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One angle is 36°. What is its corresponding angle (in degrees)?
  12. 12.What is the supplement of 43° (in degrees)?
  13. 13.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 32°. What is its alternate interior angle (in degrees)?
  15. 15.Are 39° and 141° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  16. 16.Two angles are supplementary. One is 76° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 124°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 21°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 31°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 130°. What is the angle vertically opposite to it (in degrees)?
  22. 22.What is the complement of 79° (in degrees)?
  23. 23.What is the supplement of 144° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 40°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One angle is 46°. What is its corresponding angle (in degrees)?
  26. 26.Are 17° and 73° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  27. 27.What is the complement of 5° (in degrees)?
  28. 28.Are 77° and 103° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  29. 29.What is the complement of 14° (in degrees)?
  30. 30.Are 45° and 135° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  31. 31.Two angles are supplementary. One is 108° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the supplement of 143° (in degrees)?
  33. 33.What is the supplement of 162° (in degrees)?
  34. 34.What is the complement of 68° (in degrees)?
  35. 35.Are 40° and 140° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  36. 36.What is the supplement of 153° (in degrees)?
  37. 37.What is the supplement of 44° (in degrees)?
  38. 38.What is the supplement of 96° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One angle is 144°. What is its corresponding angle (in degrees)?
  40. 40.Are 27° and 153° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary

Answer key

  1. 39
  2. 66
  3. 88
  4. 26
  5. 117
  6. 51
  7. 78
  8. 125
  9. 95
  10. 17
  11. 36
  12. 137
  13. 79
  14. 32
  15. Supplementary
  16. 128
  17. 124
  18. 159
  19. 48
  20. 149
  21. 130
  22. 11
  23. 36
  24. 40
  25. 46
  26. Complementary
  27. 85
  28. Supplementary
  29. 76
  30. Supplementary
  31. 144
  32. 37
  33. 18
  34. 22
  35. Supplementary
  36. 27
  37. 136
  38. 84
  39. 144
  40. Supplementary

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