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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 528 · 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 34° (in degrees)?
  2. 2.What is the complement of 32° (in degrees)?
  3. 3.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the supplement of 135° (in degrees)?
  7. 7.Are 10° and 80° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  8. 8.What is the supplement of 57° (in degrees)?
  9. 9.What is the complement of 55° (in degrees)?
  10. 10.What is the complement of 70° (in degrees)?
  11. 11.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 45°. What is its alternate interior angle (in degrees)?
  13. 13.What is the supplement of 112° (in degrees)?
  14. 14.What is the complement of 69° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One angle is 142°. What is its corresponding angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 73°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the supplement of 129° (in degrees)?
  19. 19.Are 12° and 168° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  20. 20.Two parallel lines are cut by a transversal. One angle is 92°. What is its corresponding angle (in degrees)?
  21. 21.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)?
  22. 22.What is the supplement of 63° (in degrees)?
  23. 23.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the supplement of 100° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 85°. What is the angle vertically opposite to it (in degrees)?
  26. 26.What is the complement of 19° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 41°. What is its corresponding angle (in degrees)?
  28. 28.What is the complement of 25° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 128°. What is the angle next to it on the same line (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 132°. What is its alternate interior angle (in degrees)?
  31. 31.What is the supplement of 170° (in degrees)?
  32. 32.Are 21° and 69° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 129°. What is its other interior angle on the same side of the transversal (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 97°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.What is the complement of 14° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 142°. What is the angle vertically opposite to it (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 147°. What is the angle next to it on the same line (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 59°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Are 12° and 78° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  40. 40.Are 70° and 162° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary

Answer key

  1. 56
  2. 58
  3. 159
  4. 56
  5. 72
  6. 45
  7. Complementary
  8. 123
  9. 35
  10. 20
  11. 77
  12. 45
  13. 68
  14. 21
  15. 142
  16. 107
  17. 46
  18. 51
  19. Supplementary
  20. 92
  21. 103
  22. 117
  23. 54
  24. 80
  25. 85
  26. 71
  27. 41
  28. 65
  29. 52
  30. 132
  31. 10
  32. Complementary
  33. 51
  34. 83
  35. 76
  36. 142
  37. 33
  38. 59
  39. Complementary
  40. Neither

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