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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 180 · 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 angle is 37°. What is its corresponding angle (in degrees)?
  2. 2.Two angles are supplementary. One is 88° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the complement of 23° (in degrees)?
  4. 4.Are 19° and 71° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  5. 5.What is the complement of 8° (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 68°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Are 14° and 58° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  8. 8.What is the complement of 40° (in degrees)?
  9. 9.Two angles are supplementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 141°. What is its corresponding angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 90°. What is its alternate interior angle (in degrees)?
  12. 12.What is the supplement of 148° (in degrees)?
  13. 13.What is the complement of 67° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 138°. What is the angle next to it on the same line (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 48°. What is the angle next to it on the same line (in degrees)?
  16. 16.Are 63° and 45° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 96°. What is its alternate interior angle (in degrees)?
  18. 18.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 91°. What is its corresponding angle (in degrees)?
  20. 20.What is the complement of 74° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 33°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 110°. What is the angle next to it on the same line (in degrees)?
  23. 23.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 41°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.Two angles are supplementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  27. 27.What is the complement of 64° (in degrees)?
  28. 28.What is the complement of 7° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 109°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 111°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 27°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 134°. What is the angle next to it on the same line (in degrees)?
  33. 33.Are 51° and 39° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  34. 34.Two straight lines cross each other. One of the angles formed is 118°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 105°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.What is the supplement of 114° (in degrees)?
  37. 37.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 50°. What is the angle vertically opposite to it (in degrees)?
  39. 39.What is the supplement of 80° (in degrees)?
  40. 40.What is the supplement of 17° (in degrees)?

Answer key

  1. 37
  2. 134
  3. 67
  4. Complementary
  5. 82
  6. 68
  7. Neither
  8. 50
  9. 112
  10. 141
  11. 90
  12. 32
  13. 23
  14. 42
  15. 132
  16. Neither
  17. 96
  18. 151
  19. 91
  20. 16
  21. 33
  22. 70
  23. 67
  24. 139
  25. 96
  26. 48
  27. 26
  28. 83
  29. 71
  30. 111
  31. 27
  32. 46
  33. Complementary
  34. 118
  35. 75
  36. 66
  37. 64
  38. 50
  39. 100
  40. 163

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