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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 752 · 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 51°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 142°. What is its corresponding angle (in degrees)?
  3. 3.What is the complement of 9° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 33°. What is its corresponding angle (in degrees)?
  5. 5.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the supplement of 81° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 42°. What is the angle vertically opposite to it (in degrees)?
  8. 8.What is the complement of 11° (in degrees)?
  9. 9.Are 44° and 8° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  10. 10.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the complement of 18° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One angle is 145°. What is its corresponding angle (in degrees)?
  13. 13.What is the complement of 28° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One angle is 46°. What is its corresponding angle (in degrees)?
  15. 15.What is the supplement of 132° (in degrees)?
  16. 16.What is the complement of 38° (in degrees)?
  17. 17.What is the supplement of 99° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 31°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 80°. What is its corresponding angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 73°. What is its alternate interior angle (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 70°. What is its alternate interior angle (in degrees)?
  22. 22.What is the complement of 8° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 58°. What is its corresponding angle (in degrees)?
  24. 24.What is the supplement of 45° (in degrees)?
  25. 25.What is the supplement of 41° (in degrees)?
  26. 26.Are 51° and 39° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  27. 27.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the supplement of 90° (in degrees)?
  29. 29.What is the supplement of 24° (in degrees)?
  30. 30.What is the supplement of 94° (in degrees)?
  31. 31.What is the complement of 59° (in degrees)?
  32. 32.What is the complement of 51° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 125°. What is its corresponding angle (in degrees)?
  34. 34.Are 25° and 65° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  35. 35.What is the complement of 24° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 148°. What is its corresponding angle (in degrees)?
  37. 37.Are 24° and 66° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  38. 38.What is the supplement of 149° (in degrees)?
  39. 39.What is the supplement of 20° (in degrees)?
  40. 40.What is the complement of 83° (in degrees)?

Answer key

  1. 129
  2. 142
  3. 81
  4. 33
  5. 69
  6. 99
  7. 42
  8. 79
  9. Neither
  10. 58
  11. 72
  12. 145
  13. 62
  14. 46
  15. 48
  16. 52
  17. 81
  18. 31
  19. 80
  20. 73
  21. 70
  22. 82
  23. 58
  24. 135
  25. 139
  26. Complementary
  27. 108
  28. 90
  29. 156
  30. 86
  31. 31
  32. 39
  33. 125
  34. Complementary
  35. 66
  36. 148
  37. Complementary
  38. 31
  39. 160
  40. 7

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