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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 912 · 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 48° more than the other. What is the bigger angle (in degrees)?
  2. 2.Are 23° and 133° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  3. 3.Are 53° and 127° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  4. 4.What is the supplement of 131° (in degrees)?
  5. 5.Are 48° and 42° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  6. 6.Are 11° and 79° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its other interior angle on the same side of the transversal (in degrees)?
  8. 8.What is the supplement of 118° (in degrees)?
  9. 9.What is the supplement of 80° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 38°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Are 38° and 52° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 145°. What is its alternate interior angle (in degrees)?
  13. 13.Two angles are complementary. One is 34° 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 146°. What is the angle next to it on the same line (in degrees)?
  15. 15.Two angles are supplementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 63°. What is the angle vertically opposite to it (in degrees)?
  17. 17.What is the complement of 6° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 21°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 128°. What is its corresponding angle (in degrees)?
  20. 20.Two angles are supplementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the complement of 26° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 148°. What is its alternate interior angle (in degrees)?
  23. 23.What is the supplement of 21° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 54°. What is its alternate interior angle (in degrees)?
  25. 25.What is the supplement of 51° (in degrees)?
  26. 26.Are 49° and 43° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  27. 27.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 43°. What is the angle vertically opposite to it (in degrees)?
  29. 29.What is the complement of 36° (in degrees)?
  30. 30.What is the complement of 50° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 64°. What is its corresponding angle (in degrees)?
  32. 32.What is the complement of 53° (in degrees)?
  33. 33.Are 36° and 54° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  34. 34.What is the complement of 10° (in degrees)?
  35. 35.What is the complement of 37° (in degrees)?
  36. 36.Are 18° and 72° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  37. 37.Two parallel lines are cut by a transversal. One angle is 120°. What is its corresponding angle (in degrees)?
  38. 38.Are 62° and 70° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  39. 39.Two straight lines cross each other. One of the angles formed is 147°. What is the angle vertically opposite to it (in degrees)?
  40. 40.What is the complement of 9° (in degrees)?

Answer key

  1. 114
  2. Neither
  3. Supplementary
  4. 49
  5. Complementary
  6. Complementary
  7. 76
  8. 62
  9. 100
  10. 38
  11. Complementary
  12. 145
  13. 62
  14. 34
  15. 109
  16. 63
  17. 84
  18. 21
  19. 128
  20. 102
  21. 64
  22. 148
  23. 159
  24. 54
  25. 129
  26. Neither
  27. 52
  28. 43
  29. 54
  30. 40
  31. 64
  32. 37
  33. Complementary
  34. 80
  35. 53
  36. Complementary
  37. 120
  38. Neither
  39. 147
  40. 81

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