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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 421 · 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 complement of 48° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 109°. What is the angle next to it on the same line (in degrees)?
  3. 3.What is the supplement of 163° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 49°. What is the angle next to it on the same line (in degrees)?
  5. 5.Two angles are supplementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 48°. What is its corresponding angle (in degrees)?
  7. 7.What is the complement of 26° (in degrees)?
  8. 8.What is the complement of 18° (in degrees)?
  9. 9.Two angles are supplementary. One is 102° more than the other. What is the bigger angle (in degrees)?
  10. 10.What is the supplement of 111° (in degrees)?
  11. 11.Are 62° and 118° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  12. 12.Two parallel lines are cut by a transversal. One angle is 57°. What is its corresponding angle (in degrees)?
  13. 13.Are 16° and 164° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  14. 14.Two parallel lines are cut by a transversal. One angle is 106°. What is its corresponding angle (in degrees)?
  15. 15.What is the supplement of 63° (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 113°. What is the angle vertically opposite to it (in degrees)?
  17. 17.What is the supplement of 114° (in degrees)?
  18. 18.What is the complement of 21° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 133°. What is the angle next to it on the same line (in degrees)?
  20. 20.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the complement of 31° (in degrees)?
  22. 22.What is the supplement of 138° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 78°. What is its alternate interior angle (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 36°. What is its alternate interior angle (in degrees)?
  25. 25.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  26. 26.Are 35° and 67° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  27. 27.Two straight lines cross each other. One of the angles formed is 37°. What is the angle next to it on the same line (in degrees)?
  28. 28.What is the complement of 6° (in degrees)?
  29. 29.What is the supplement of 60° (in degrees)?
  30. 30.Are 34° and 119° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  31. 31.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the supplement of 170° (in degrees)?
  33. 33.What is the supplement of 8° (in degrees)?
  34. 34.Are 47° and 133° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  35. 35.Two parallel lines are cut by a transversal. One angle is 49°. What is its corresponding angle (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 66°. What is the angle vertically opposite to it (in degrees)?
  37. 37.What is the supplement of 165° (in degrees)?
  38. 38.What is the supplement of 98° (in degrees)?
  39. 39.What is the complement of 16° (in degrees)?
  40. 40.What is the complement of 37° (in degrees)?

Answer key

  1. 42
  2. 71
  3. 17
  4. 131
  5. 102
  6. 48
  7. 64
  8. 72
  9. 141
  10. 69
  11. Supplementary
  12. 57
  13. Supplementary
  14. 106
  15. 117
  16. 113
  17. 66
  18. 69
  19. 47
  20. 59
  21. 59
  22. 42
  23. 78
  24. 36
  25. 58
  26. Neither
  27. 143
  28. 84
  29. 120
  30. Neither
  31. 50
  32. 10
  33. 172
  34. Supplementary
  35. 49
  36. 66
  37. 15
  38. 82
  39. 74
  40. 53

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