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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 590 · 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 supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 139°. What is its alternate interior angle (in degrees)?
  4. 4.What is the supplement of 136° (in degrees)?
  5. 5.What is the complement of 28° (in degrees)?
  6. 6.What is the supplement of 160° (in degrees)?
  7. 7.Are 68° and 112° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  8. 8.What is the complement of 52° (in degrees)?
  9. 9.What is the complement of 64° (in degrees)?
  10. 10.What is the complement of 24° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 76°. What is the angle vertically opposite to it (in degrees)?
  12. 12.What is the complement of 76° (in degrees)?
  13. 13.Are 32° and 148° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  14. 14.Two straight lines cross each other. One of the angles formed is 153°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 90°. What is its alternate interior angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 31°. What is its corresponding angle (in degrees)?
  17. 17.What is the complement of 63° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 69°. What is its alternate interior angle (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 146°. What is its other interior angle on the same side of the transversal (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 35°. What is the angle next to it on the same line (in degrees)?
  21. 21.Two angles are supplementary. One is 130° more than the other. What is the bigger angle (in degrees)?
  22. 22.Are 34° and 146° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  23. 23.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 143°. What is its corresponding angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One angle is 130°. What is its corresponding angle (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 23°. What is the angle next to it on the same line (in degrees)?
  27. 27.What is the supplement of 85° (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 95°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.What is the supplement of 57° (in degrees)?
  30. 30.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 148°. What is its other interior angle on the same side of the transversal (in degrees)?
  32. 32.What is the supplement of 94° (in degrees)?
  33. 33.What is the complement of 25° (in degrees)?
  34. 34.What is the complement of 53° (in degrees)?
  35. 35.What is the complement of 31° (in degrees)?
  36. 36.What is the complement of 62° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 22°. What is the angle vertically opposite to it (in degrees)?
  38. 38.What is the supplement of 103° (in degrees)?
  39. 39.Two angles are supplementary. One is 80° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the supplement of 13° (in degrees)?

Answer key

  1. 93
  2. 110
  3. 139
  4. 44
  5. 62
  6. 20
  7. Supplementary
  8. 38
  9. 26
  10. 66
  11. 76
  12. 14
  13. Supplementary
  14. 153
  15. 90
  16. 31
  17. 27
  18. 69
  19. 34
  20. 145
  21. 155
  22. Supplementary
  23. 46
  24. 143
  25. 130
  26. 157
  27. 95
  28. 85
  29. 123
  30. 55
  31. 32
  32. 86
  33. 65
  34. 37
  35. 59
  36. 28
  37. 22
  38. 77
  39. 130
  40. 167

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