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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 780 · 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 30° and 60° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 96°. What is its alternate interior angle (in degrees)?
  3. 3.What is the complement of 27° (in degrees)?
  4. 4.What is the supplement of 89° (in degrees)?
  5. 5.What is the supplement of 120° (in degrees)?
  6. 6.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 69°. What is its corresponding angle (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One angle is 113°. What is its corresponding angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 64°. What is the angle next to it on the same line (in degrees)?
  11. 11.What is the complement of 6° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 98°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One angle is 42°. What is its corresponding angle (in degrees)?
  14. 14.Two angles are supplementary. One is 132° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 73°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.Are 38° and 142° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  17. 17.Two straight lines cross each other. One of the angles formed is 110°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the complement of 63° (in degrees)?
  20. 20.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 101°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 37°. What is its corresponding angle (in degrees)?
  24. 24.Are 10° and 107° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  25. 25.Two angles are supplementary. One is 78° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the complement of 20° (in degrees)?
  27. 27.What is the complement of 30° (in degrees)?
  28. 28.What is the supplement of 159° (in degrees)?
  29. 29.What is the supplement of 135° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 36°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 31°. What is its alternate interior angle (in degrees)?
  32. 32.What is the supplement of 25° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its alternate interior angle (in degrees)?
  34. 34.Are 48° and 42° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  35. 35.Two parallel lines are cut by a transversal. One angle is 124°. What is its corresponding angle (in degrees)?
  36. 36.What is the complement of 32° (in degrees)?
  37. 37.What is the supplement of 80° (in degrees)?
  38. 38.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the complement of 44° (in degrees)?
  40. 40.What is the complement of 59° (in degrees)?

Answer key

  1. Complementary
  2. 96
  3. 63
  4. 91
  5. 60
  6. 71
  7. 80
  8. 69
  9. 113
  10. 116
  11. 84
  12. 82
  13. 42
  14. 156
  15. 107
  16. Supplementary
  17. 110
  18. 78
  19. 27
  20. 46
  21. 101
  22. 53
  23. 37
  24. Neither
  25. 129
  26. 70
  27. 60
  28. 21
  29. 45
  30. 144
  31. 31
  32. 155
  33. 104
  34. Complementary
  35. 124
  36. 58
  37. 100
  38. 50
  39. 46
  40. 31

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