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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 490 · 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.What is the supplement of 36° (in degrees)?
  2. 2.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the complement of 13° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 134°. What is its alternate interior angle (in degrees)?
  5. 5.What is the supplement of 44° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 92°. What is its corresponding angle (in degrees)?
  7. 7.What is the complement of 23° (in degrees)?
  8. 8.What is the complement of 8° (in degrees)?
  9. 9.What is the complement of 33° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 26°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Are 65° and 115° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  12. 12.Two angles are supplementary. One is 76° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its alternate interior angle (in degrees)?
  14. 14.What is the supplement of 93° (in degrees)?
  15. 15.What is the supplement of 69° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 138°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.Two angles are supplementary. One is 100° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the complement of 15° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 20°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Are 24° and 66° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  21. 21.Two straight lines cross each other. One of the angles formed is 133°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Two angles are supplementary. One is 74° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 117°. What is its alternate interior angle (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 75°. What is its corresponding angle (in degrees)?
  25. 25.Two angles are supplementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the supplement of 75° (in degrees)?
  27. 27.Are 57° and 123° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  28. 28.Two straight lines cross each other. One of the angles formed is 152°. What is the angle vertically opposite to it (in degrees)?
  29. 29.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 146°. What is its alternate interior angle (in degrees)?
  31. 31.What is the supplement of 66° (in degrees)?
  32. 32.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two angles are supplementary. One is 126° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the complement of 20° (in degrees)?
  36. 36.Are 11° and 79° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 120°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.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)?
  39. 39.Two parallel lines are cut by a transversal. One angle is 50°. What is its corresponding angle (in degrees)?
  40. 40.What is the supplement of 174° (in degrees)?

Answer key

  1. 144
  2. 50
  3. 77
  4. 134
  5. 136
  6. 92
  7. 67
  8. 82
  9. 57
  10. 26
  11. Supplementary
  12. 128
  13. 38
  14. 87
  15. 111
  16. 42
  17. 140
  18. 75
  19. 20
  20. Complementary
  21. 133
  22. 127
  23. 117
  24. 75
  25. 116
  26. 105
  27. Supplementary
  28. 152
  29. 54
  30. 146
  31. 114
  32. 53
  33. 153
  34. 122
  35. 70
  36. Complementary
  37. 60
  38. 128
  39. 50
  40. 6

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