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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 38 · 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 68°. What is its alternate interior angle (in degrees)?
  2. 2.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 98°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 125°. What is the angle next to it on the same line (in degrees)?
  5. 5.Are 23° and 111° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  6. 6.What is the supplement of 72° (in degrees)?
  7. 7.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 74° (in degrees)?
  9. 9.Two angles are supplementary. One is 86° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  12. 12.What is the supplement of 140° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 116°. What is its other interior angle on the same side of the transversal (in degrees)?
  14. 14.What is the complement of 56° (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 23°. What is the angle vertically opposite to it (in degrees)?
  16. 16.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)?
  17. 17.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the supplement of 36° (in degrees)?
  19. 19.What is the supplement of 45° (in degrees)?
  20. 20.What is the supplement of 87° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 65°. What is the angle next to it on the same line (in degrees)?
  22. 22.What is the complement of 35° (in degrees)?
  23. 23.Are 47° and 133° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  24. 24.Are 14° and 166° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  25. 25.What is the supplement of 29° (in degrees)?
  26. 26.What is the complement of 65° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 81°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 89°. What is the angle next to it on the same line (in degrees)?
  29. 29.What is the supplement of 91° (in degrees)?
  30. 30.What is the supplement of 142° (in degrees)?
  31. 31.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the complement of 11° (in degrees)?
  33. 33.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 79°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.Two angles are supplementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 58°. What is its alternate interior angle (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 35°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 111°. What is its corresponding angle (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 70°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.What is the supplement of 114° (in degrees)?

Answer key

  1. 68
  2. 79
  3. 98
  4. 55
  5. Neither
  6. 108
  7. 111
  8. 16
  9. 133
  10. 68
  11. 78
  12. 40
  13. 64
  14. 34
  15. 23
  16. 125
  17. 60
  18. 144
  19. 135
  20. 93
  21. 115
  22. 55
  23. Supplementary
  24. Supplementary
  25. 151
  26. 25
  27. 81
  28. 91
  29. 89
  30. 38
  31. 49
  32. 79
  33. 108
  34. 101
  35. 104
  36. 58
  37. 35
  38. 111
  39. 110
  40. 66

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