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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 177 · 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 straight lines cross each other. One of the angles formed is 92°. What is the angle next to it on the same line (in degrees)?
  2. 2.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 27°. What is the angle next to it on the same line (in degrees)?
  4. 4.What is the complement of 84° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 70°. What is the angle vertically opposite to it (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 48°. What is the angle vertically opposite to it (in degrees)?
  7. 7.What is the complement of 18° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 116°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two angles are complementary. One is 8° 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 118°. What is the angle next to it on the same line (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.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  13. 13.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)?
  14. 14.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  15. 15.Are 43° and 47° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  16. 16.Are 70° and 71° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its alternate interior angle (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its alternate interior angle (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 146°. What is its corresponding angle (in degrees)?
  20. 20.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the supplement of 58° (in degrees)?
  22. 22.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 125°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 98°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.Are 18° and 97° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 117°. What is its other interior angle on the same side of the transversal (in degrees)?
  27. 27.Are 55° and 35° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 105°. What is its alternate interior angle (in degrees)?
  29. 29.Are 19° and 161° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  30. 30.What is the complement of 72° (in degrees)?
  31. 31.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the supplement of 53° (in degrees)?
  33. 33.Are 59° and 78° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  34. 34.Are 49° and 41° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 30°. What is its alternate interior angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 71°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.What is the supplement of 72° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 51°. What is its alternate interior angle (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One angle is 59°. What is its corresponding angle (in degrees)?
  40. 40.What is the complement of 32° (in degrees)?

Answer key

  1. 88
  2. 51
  3. 153
  4. 6
  5. 70
  6. 48
  7. 72
  8. 116
  9. 49
  10. 62
  11. 36
  12. 56
  13. 120
  14. 74
  15. Complementary
  16. Neither
  17. 110
  18. 48
  19. 146
  20. 152
  21. 122
  22. 107
  23. 125
  24. 82
  25. Neither
  26. 63
  27. Complementary
  28. 105
  29. Supplementary
  30. 18
  31. 103
  32. 127
  33. Neither
  34. Complementary
  35. 30
  36. 109
  37. 108
  38. 51
  39. 59
  40. 58

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