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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 79 · 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 147°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.What is the supplement of 127° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 26°. What is the angle vertically opposite to it (in degrees)?
  4. 4.What is the supplement of 29° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 46°. What is the angle vertically opposite to it (in degrees)?
  6. 6.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)?
  7. 7.Two straight lines cross each other. One of the angles formed is 131°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 76°. What is the angle next to it on the same line (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 69°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 23°. What is the angle vertically opposite to it (in degrees)?
  13. 13.What is the complement of 50° (in degrees)?
  14. 14.What is the supplement of 117° (in degrees)?
  15. 15.What is the supplement of 32° (in degrees)?
  16. 16.Are 78° and 12° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  17. 17.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two angles are supplementary. One is 132° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the supplement of 28° (in degrees)?
  20. 20.What is the supplement of 37° (in degrees)?
  21. 21.Are 50° and 130° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 55°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 34°. What is its corresponding angle (in degrees)?
  24. 24.What is the complement of 15° (in degrees)?
  25. 25.Are 51° and 39° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  26. 26.Are 37° and 17° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  27. 27.What is the complement of 59° (in degrees)?
  28. 28.Are 35° and 32° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 44°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.What is the complement of 45° (in degrees)?
  31. 31.What is the supplement of 132° (in degrees)?
  32. 32.What is the supplement of 66° (in degrees)?
  33. 33.What is the complement of 52° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 108°. What is the angle next to it on the same line (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 24°. What is the angle next to it on the same line (in degrees)?
  36. 36.What is the complement of 8° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 37°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 26°. What is the angle next to it on the same line (in degrees)?
  39. 39.What is the complement of 60° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 75°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 33
  2. 53
  3. 26
  4. 151
  5. 46
  6. 33
  7. 131
  8. 104
  9. 111
  10. 76
  11. 151
  12. 23
  13. 40
  14. 63
  15. 148
  16. Complementary
  17. 62
  18. 156
  19. 152
  20. 143
  21. Supplementary
  22. 125
  23. 34
  24. 75
  25. Complementary
  26. Neither
  27. 31
  28. Neither
  29. 136
  30. 45
  31. 48
  32. 114
  33. 38
  34. 72
  35. 156
  36. 82
  37. 37
  38. 154
  39. 30
  40. 75

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