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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 412 · 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 8° (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 43°. What is its other interior angle on the same side of the transversal (in degrees)?
  3. 3.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two angles are supplementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the complement of 22° (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 135°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 66°. What is the angle next to it on the same line (in degrees)?
  8. 8.Are 41° and 49° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  9. 9.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 153°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  12. 12.What is the supplement of 128° (in degrees)?
  13. 13.Two angles are supplementary. One is 128° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One angle is 103°. What is its corresponding angle (in degrees)?
  15. 15.What is the complement of 23° (in degrees)?
  16. 16.What is the supplement of 96° (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 92°. What is the angle vertically opposite to it (in degrees)?
  18. 18.What is the supplement of 64° (in degrees)?
  19. 19.What is the complement of 6° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 61°. What is its alternate interior angle (in degrees)?
  21. 21.What is the supplement of 75° (in degrees)?
  22. 22.What is the supplement of 18° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 24°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 128°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.What is the supplement of 146° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 135°. What is its other interior angle on the same side of the transversal (in degrees)?
  27. 27.What is the supplement of 171° (in degrees)?
  28. 28.Are 67° and 113° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  29. 29.What is the supplement of 31° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 133°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its other interior angle on the same side of the transversal (in degrees)?
  32. 32.What is the complement of 48° (in degrees)?
  33. 33.What is the complement of 24° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 94°. What is its alternate interior angle (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 87°. What is the angle vertically opposite to it (in degrees)?
  36. 36.What is the complement of 5° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 132°. What is the angle next to it on the same line (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 113°. What is its alternate interior angle (in degrees)?
  39. 39.Are 42° and 138° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  40. 40.What is the supplement of 95° (in degrees)?

Answer key

  1. 82
  2. 137
  3. 69
  4. 117
  5. 68
  6. 135
  7. 114
  8. Complementary
  9. 64
  10. 153
  11. 75
  12. 52
  13. 154
  14. 103
  15. 67
  16. 84
  17. 92
  18. 116
  19. 84
  20. 61
  21. 105
  22. 162
  23. 24
  24. 52
  25. 34
  26. 45
  27. 9
  28. Supplementary
  29. 149
  30. 47
  31. 89
  32. 42
  33. 66
  34. 94
  35. 87
  36. 85
  37. 48
  38. 113
  39. Supplementary
  40. 85

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