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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 747 · 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.Are 36° and 20° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 140°. What is its alternate interior angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 37°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.What is the complement of 63° (in degrees)?
  5. 5.What is the complement of 75° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 65°. What is its corresponding angle (in degrees)?
  7. 7.What is the supplement of 90° (in degrees)?
  8. 8.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the supplement of 66° (in degrees)?
  10. 10.What is the complement of 71° (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One angle is 106°. What is its corresponding angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 142°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.Are 44° and 46° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  14. 14.What is the supplement of 130° (in degrees)?
  15. 15.What is the complement of 58° (in degrees)?
  16. 16.What is the supplement of 86° (in degrees)?
  17. 17.What is the supplement of 36° (in degrees)?
  18. 18.What is the complement of 9° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 102°. What is its alternate interior angle (in degrees)?
  20. 20.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the supplement of 47° (in degrees)?
  22. 22.What is the supplement of 55° (in degrees)?
  23. 23.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  24. 24.Are 65° and 25° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  25. 25.Two straight lines cross each other. One of the angles formed is 45°. What is the angle next to it on the same line (in degrees)?
  26. 26.What is the supplement of 52° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 49°. What is the angle vertically opposite to it (in degrees)?
  28. 28.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)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 64°. What is its alternate interior angle (in degrees)?
  30. 30.What is the complement of 69° (in degrees)?
  31. 31.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the supplement of 149° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 124°. What is the angle next to it on the same line (in degrees)?
  34. 34.What is the complement of 45° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 82°. What is its alternate interior angle (in degrees)?
  36. 36.Are 47° and 27° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 53°. What is its alternate interior angle (in degrees)?
  38. 38.What is the supplement of 20° (in degrees)?
  39. 39.What is the supplement of 141° (in degrees)?
  40. 40.What is the complement of 7° (in degrees)?

Answer key

  1. Neither
  2. 140
  3. 143
  4. 27
  5. 15
  6. 65
  7. 90
  8. 159
  9. 114
  10. 19
  11. 106
  12. 38
  13. Complementary
  14. 50
  15. 32
  16. 94
  17. 144
  18. 81
  19. 102
  20. 50
  21. 133
  22. 125
  23. 79
  24. Complementary
  25. 135
  26. 128
  27. 49
  28. 131
  29. 64
  30. 21
  31. 56
  32. 31
  33. 56
  34. 45
  35. 82
  36. Neither
  37. 53
  38. 160
  39. 39
  40. 83

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