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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 257 · 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 interior angle is 123°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.Are 68° and 112° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  3. 3.What is the complement of 11° (in degrees)?
  4. 4.Are 58° and 32° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  5. 5.What is the complement of 69° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 31°. What is its corresponding angle (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 158°. What is the angle next to it on the same line (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 36°. What is its alternate interior angle (in degrees)?
  9. 9.Are 20° and 90° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  10. 10.What is the complement of 15° (in degrees)?
  11. 11.What is the supplement of 164° (in degrees)?
  12. 12.Are 25° and 146° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  13. 13.Two straight lines cross each other. One of the angles formed is 62°. What is the angle next to it on the same line (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 110°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two angles are supplementary. One is 82° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its alternate interior angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 31°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two angles are supplementary. One is 86° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the complement of 34° (in degrees)?
  21. 21.What is the complement of 82° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 121°. What is the angle next to it on the same line (in degrees)?
  23. 23.Two angles are supplementary. One is 140° 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 142°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One angle is 74°. What is its corresponding angle (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 33°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the supplement of 20° (in degrees)?
  29. 29.What is the complement of 49° (in degrees)?
  30. 30.What is the complement of 50° (in degrees)?
  31. 31.What is the complement of 22° (in degrees)?
  32. 32.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)?
  33. 33.What is the complement of 18° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 25°. What is the angle next to it on the same line (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.Are 26° and 46° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  37. 37.Are 46° and 44° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  38. 38.Are 20° and 160° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 144°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 120°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 57
  2. Supplementary
  3. 79
  4. Complementary
  5. 21
  6. 31
  7. 22
  8. 36
  9. Neither
  10. 75
  11. 16
  12. Neither
  13. 118
  14. 110
  15. 122
  16. 131
  17. 38
  18. 149
  19. 133
  20. 56
  21. 8
  22. 59
  23. 160
  24. 38
  25. 74
  26. 33
  27. 73
  28. 160
  29. 41
  30. 40
  31. 68
  32. 137
  33. 72
  34. 155
  35. 62
  36. Neither
  37. Complementary
  38. Supplementary
  39. 36
  40. 120

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