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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 566 · 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 33°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.What is the supplement of 96° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 26°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Are 66° and 24° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  5. 5.What is the supplement of 54° (in degrees)?
  6. 6.Are 27° and 153° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  7. 7.Two straight lines cross each other. One of the angles formed is 51°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 46°. What is the angle next to it on the same line (in degrees)?
  9. 9.What is the supplement of 43° (in degrees)?
  10. 10.What is the complement of 64° (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 88°. What is its alternate interior angle (in degrees)?
  12. 12.What is the supplement of 7° (in degrees)?
  13. 13.What is the supplement of 18° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 110°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the supplement of 42° (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 142°. What is the angle vertically opposite to it (in degrees)?
  17. 17.What is the complement of 20° (in degrees)?
  18. 18.Two angles are supplementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the complement of 42° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 112°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 76°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Are 13° and 77° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  23. 23.Two straight lines cross each other. One of the angles formed is 106°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 105°. What is its corresponding angle (in degrees)?
  25. 25.What is the supplement of 57° (in degrees)?
  26. 26.Are 39° and 88° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  27. 27.What is the supplement of 149° (in degrees)?
  28. 28.What is the complement of 36° (in degrees)?
  29. 29.What is the complement of 43° (in degrees)?
  30. 30.What is the supplement of 20° (in degrees)?
  31. 31.Are 34° and 133° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  32. 32.Two angles are supplementary. One is 94° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 74°. What is the angle next to it on the same line (in degrees)?
  34. 34.What is the complement of 80° (in degrees)?
  35. 35.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 55°. What is the angle next to it on the same line (in degrees)?
  37. 37.What is the complement of 5° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 81°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One angle is 138°. What is its corresponding angle (in degrees)?

Answer key

  1. 147
  2. 84
  3. 26
  4. Complementary
  5. 126
  6. Supplementary
  7. 51
  8. 134
  9. 137
  10. 26
  11. 88
  12. 173
  13. 162
  14. 110
  15. 138
  16. 142
  17. 70
  18. 116
  19. 48
  20. 112
  21. 76
  22. Complementary
  23. 106
  24. 105
  25. 123
  26. Neither
  27. 31
  28. 54
  29. 47
  30. 160
  31. Neither
  32. 137
  33. 106
  34. 10
  35. 55
  36. 125
  37. 85
  38. 81
  39. 65
  40. 138

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