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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 525 · 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 angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the complement of 78° (in degrees)?
  3. 3.What is the complement of 32° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 83°. What is the angle next to it on the same line (in degrees)?
  5. 5.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)?
  6. 6.What is the supplement of 72° (in degrees)?
  7. 7.What is the complement of 67° (in degrees)?
  8. 8.What is the supplement of 74° (in degrees)?
  9. 9.What is the complement of 21° (in degrees)?
  10. 10.What is the complement of 56° (in degrees)?
  11. 11.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One angle is 146°. What is its corresponding angle (in degrees)?
  13. 13.Are 47° and 89° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  14. 14.Two straight lines cross each other. One of the angles formed is 107°. What is the angle vertically opposite to it (in degrees)?
  15. 15.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)?
  16. 16.Are 12° and 168° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  17. 17.What is the supplement of 116° (in degrees)?
  18. 18.What is the supplement of 143° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 21°. What is the angle vertically opposite to it (in degrees)?
  20. 20.What is the complement of 38° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One angle is 40°. What is its corresponding angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its alternate interior angle (in degrees)?
  23. 23.Are 53° and 127° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 59°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 139°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 116°. What is its alternate interior angle (in degrees)?
  27. 27.What is the supplement of 146° (in degrees)?
  28. 28.What is the supplement of 142° (in degrees)?
  29. 29.What is the supplement of 34° (in degrees)?
  30. 30.What is the supplement of 160° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 52°. What is the angle next to it on the same line (in degrees)?
  32. 32.Two angles are supplementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  33. 33.Are 46° and 155° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  34. 34.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the supplement of 128° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 94°. What is the angle next to it on the same line (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 88°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.Two angles are supplementary. One is 102° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 113°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Are 26° and 64° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary

Answer key

  1. 50
  2. 12
  3. 58
  4. 97
  5. 57
  6. 108
  7. 23
  8. 106
  9. 69
  10. 34
  11. 98
  12. 146
  13. Neither
  14. 107
  15. 137
  16. Supplementary
  17. 64
  18. 37
  19. 21
  20. 52
  21. 40
  22. 91
  23. Supplementary
  24. 121
  25. 139
  26. 116
  27. 34
  28. 38
  29. 146
  30. 20
  31. 128
  32. 109
  33. Neither
  34. 94
  35. 52
  36. 86
  37. 92
  38. 141
  39. 113
  40. Complementary

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