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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 14 · 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 18° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 72°. What is its alternate interior angle (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 138°. What is the angle next to it on the same line (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 42°. What is its corresponding angle (in degrees)?
  5. 5.What is the supplement of 165° (in degrees)?
  6. 6.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One angle is 94°. What is its corresponding angle (in degrees)?
  8. 8.What is the complement of 64° (in degrees)?
  9. 9.Are 12° and 49° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  10. 10.Two straight lines cross each other. One of the angles formed is 31°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the supplement of 45° (in degrees)?
  12. 12.What is the supplement of 116° (in degrees)?
  13. 13.Are 14° and 76° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  14. 14.What is the supplement of 132° (in degrees)?
  15. 15.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the complement of 17° (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 137°. What is the angle next to it on the same line (in degrees)?
  18. 18.Two angles are supplementary. One is 104° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the complement of 72° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 89°. What is its alternate interior angle (in degrees)?
  21. 21.Are 25° and 155° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  22. 22.What is the supplement of 46° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 34°. What is its alternate interior angle (in degrees)?
  24. 24.What is the supplement of 68° (in degrees)?
  25. 25.What is the complement of 75° (in degrees)?
  26. 26.What is the complement of 23° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  29. 29.Are 53° and 127° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 116°. What is its alternate interior angle (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 39°. What is the angle next to it on the same line (in degrees)?
  32. 32.What is the complement of 7° (in degrees)?
  33. 33.Are 76° and 40° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  34. 34.What is the supplement of 133° (in degrees)?
  35. 35.Are 25° and 65° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  36. 36.What is the complement of 34° (in degrees)?
  37. 37.What is the complement of 37° (in degrees)?
  38. 38.Are 50° and 40° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  39. 39.What is the supplement of 28° (in degrees)?
  40. 40.What is the complement of 51° (in degrees)?

Answer key

  1. 99
  2. 72
  3. 42
  4. 42
  5. 15
  6. 103
  7. 94
  8. 26
  9. Neither
  10. 31
  11. 135
  12. 64
  13. Complementary
  14. 48
  15. 122
  16. 73
  17. 43
  18. 142
  19. 18
  20. 89
  21. Supplementary
  22. 134
  23. 34
  24. 112
  25. 15
  26. 67
  27. 123
  28. 110
  29. Supplementary
  30. 116
  31. 141
  32. 83
  33. Neither
  34. 47
  35. Complementary
  36. 56
  37. 53
  38. Complementary
  39. 152
  40. 39

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