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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 456 · 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 straight lines cross each other. One of the angles formed is 60°. What is the angle next to it on the same line (in degrees)?
  2. 2.What is the complement of 56° (in degrees)?
  3. 3.What is the complement of 26° (in degrees)?
  4. 4.What is the complement of 13° (in degrees)?
  5. 5.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the complement of 62° (in degrees)?
  7. 7.What is the supplement of 35° (in degrees)?
  8. 8.What is the complement of 12° (in degrees)?
  9. 9.What is the complement of 63° (in degrees)?
  10. 10.What is the supplement of 26° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 148°. What is the angle vertically opposite to it (in degrees)?
  12. 12.What is the supplement of 135° (in degrees)?
  13. 13.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the complement of 52° (in degrees)?
  15. 15.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the complement of 39° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One angle is 42°. What is its corresponding angle (in degrees)?
  18. 18.Are 11° and 97° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  19. 19.Two straight lines cross each other. One of the angles formed is 53°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Are 74° and 16° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  21. 21.Two straight lines cross each other. One of the angles formed is 137°. What is the angle vertically opposite to it (in degrees)?
  22. 22.What is the supplement of 166° (in degrees)?
  23. 23.What is the supplement of 102° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 93°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Are 13° and 167° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  26. 26.Two straight lines cross each other. One of the angles formed is 45°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Are 10° and 80° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  28. 28.Two straight lines cross each other. One of the angles formed is 100°. What is the angle vertically opposite to it (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 65°. What is its alternate interior angle (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 136°. What is its alternate interior angle (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 94°. What is its alternate interior angle (in degrees)?
  32. 32.Are 16° and 74° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  33. 33.Two straight lines cross each other. One of the angles formed is 51°. What is the angle next to it on the same line (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 139°. What is the angle next to it on the same line (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 49°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 71°. What is the angle next to it on the same line (in degrees)?
  37. 37.What is the complement of 28° (in degrees)?
  38. 38.What is the complement of 69° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 105°. What is its alternate interior angle (in degrees)?
  40. 40.What is the complement of 14° (in degrees)?

Answer key

  1. 120
  2. 34
  3. 64
  4. 77
  5. 55
  6. 28
  7. 145
  8. 78
  9. 27
  10. 154
  11. 148
  12. 45
  13. 50
  14. 38
  15. 64
  16. 51
  17. 42
  18. Neither
  19. 53
  20. Complementary
  21. 137
  22. 14
  23. 78
  24. 93
  25. Supplementary
  26. 45
  27. Complementary
  28. 100
  29. 65
  30. 136
  31. 94
  32. Complementary
  33. 129
  34. 41
  35. 49
  36. 109
  37. 62
  38. 21
  39. 105
  40. 76

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