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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 231 · 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 130° (in degrees)?
  2. 2.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One angle is 94°. What is its corresponding angle (in degrees)?
  4. 4.Two angles are supplementary. One is 80° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 117°. What is its alternate interior angle (in degrees)?
  6. 6.What is the supplement of 50° (in degrees)?
  7. 7.Are 26° and 49° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 99°. What is its alternate interior angle (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 69°. What is the angle next to it on the same line (in degrees)?
  10. 10.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 97°. What is the angle vertically opposite to it (in degrees)?
  12. 12.What is the supplement of 27° (in degrees)?
  13. 13.Two angles are supplementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 111°. What is the angle next to it on the same line (in degrees)?
  15. 15.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the supplement of 143° (in degrees)?
  17. 17.What is the supplement of 36° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 52°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 61°. What is the angle next to it on the same line (in degrees)?
  20. 20.Two angles are supplementary. One is 104° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the supplement of 135° (in degrees)?
  22. 22.What is the supplement of 73° (in degrees)?
  23. 23.Are 38° and 142° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 114°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.What is the supplement of 141° (in degrees)?
  26. 26.Are 66° and 114° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  27. 27.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the complement of 53° (in degrees)?
  29. 29.What is the supplement of 28° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 63°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the complement of 22° (in degrees)?
  33. 33.What is the supplement of 87° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 65°. What is its alternate interior angle (in degrees)?
  35. 35.What is the supplement of 162° (in degrees)?
  36. 36.What is the complement of 26° (in degrees)?
  37. 37.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  38. 38.Are 74° and 106° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  39. 39.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the complement of 83° (in degrees)?

Answer key

  1. 50
  2. 74
  3. 94
  4. 130
  5. 117
  6. 130
  7. Neither
  8. 99
  9. 111
  10. 99
  11. 97
  12. 153
  13. 117
  14. 69
  15. 65
  16. 37
  17. 144
  18. 52
  19. 119
  20. 142
  21. 45
  22. 107
  23. Supplementary
  24. 66
  25. 39
  26. Supplementary
  27. 105
  28. 37
  29. 152
  30. 117
  31. 107
  32. 68
  33. 93
  34. 65
  35. 18
  36. 64
  37. 150
  38. Supplementary
  39. 77
  40. 7

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