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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 306 · 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.Are 78° and 24° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  2. 2.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)?
  3. 3.Two straight lines cross each other. One of the angles formed is 107°. What is the angle vertically opposite to it (in degrees)?
  4. 4.What is the complement of 46° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 99°. What is the angle next to it on the same line (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 24°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Two angles are supplementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the supplement of 120° (in degrees)?
  9. 9.Two angles are supplementary. One is 128° 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 107°. What is the angle next to it on the same line (in degrees)?
  11. 11.What is the supplement of 32° (in degrees)?
  12. 12.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the supplement of 117° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 106°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  16. 16.Are 20° and 70° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 121°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.Are 33° and 147° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  19. 19.Are 14° and 61° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  20. 20.What is the supplement of 168° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 88°. What is the angle next to it on the same line (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 142°. What is its alternate interior angle (in degrees)?
  23. 23.What is the supplement of 15° (in degrees)?
  24. 24.What is the complement of 19° (in degrees)?
  25. 25.What is the complement of 72° (in degrees)?
  26. 26.What is the supplement of 133° (in degrees)?
  27. 27.What is the supplement of 20° (in degrees)?
  28. 28.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)?
  29. 29.Two parallel lines are cut by a transversal. One angle is 33°. What is its corresponding angle (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 88°. What is its alternate interior angle (in degrees)?
  31. 31.What is the complement of 58° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 131°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.What is the supplement of 142° (in degrees)?
  34. 34.Are 44° and 136° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  35. 35.Two straight lines cross each other. One of the angles formed is 37°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 60°. What is the angle vertically opposite to it (in degrees)?
  37. 37.Are 33° and 57° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  38. 38.Are 48° and 113° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  39. 39.Are 16° and 74° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  40. 40.Are 69° and 111° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary

Answer key

  1. Neither
  2. 48
  3. 107
  4. 44
  5. 81
  6. 24
  7. 101
  8. 60
  9. 154
  10. 73
  11. 148
  12. 118
  13. 63
  14. 106
  15. 60
  16. Complementary
  17. 59
  18. Supplementary
  19. Neither
  20. 12
  21. 92
  22. 142
  23. 165
  24. 71
  25. 18
  26. 47
  27. 160
  28. 149
  29. 33
  30. 88
  31. 32
  32. 49
  33. 38
  34. Supplementary
  35. 37
  36. 60
  37. Complementary
  38. Neither
  39. Complementary
  40. Supplementary

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