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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 852 · 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 66°. What is the angle next to it on the same line (in degrees)?
  2. 2.What is the complement of 83° (in degrees)?
  3. 3.Are 10° and 170° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 94°. What is its alternate interior angle (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 129°. What is its other interior angle on the same side of the transversal (in degrees)?
  6. 6.Are 45° and 45° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  7. 7.Are 30° and 150° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  8. 8.Two straight lines cross each other. One of the angles formed is 146°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One angle is 150°. What is its corresponding angle (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 97°. What is its corresponding angle (in degrees)?
  11. 11.Two angles are supplementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 83°. What is the angle next to it on the same line (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 69°. What is the angle next to it on the same line (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One angle is 55°. What is its corresponding angle (in degrees)?
  15. 15.What is the supplement of 67° (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 42°. What is the angle next to it on the same line (in degrees)?
  17. 17.What is the supplement of 79° (in degrees)?
  18. 18.Are 68° and 22° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  19. 19.Two parallel lines are cut by a transversal. One angle is 40°. What is its corresponding angle (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 73°. What is the angle next to it on the same line (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 58°. What is its alternate interior angle (in degrees)?
  22. 22.What is the supplement of 53° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 149°. What is the angle next to it on the same line (in degrees)?
  24. 24.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)?
  25. 25.What is the complement of 21° (in degrees)?
  26. 26.Are 37° and 20° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  27. 27.Are 11° and 169° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  28. 28.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  29. 29.Are 24° and 169° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 77°. What is its alternate interior angle (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 88°. What is its other interior angle on the same side of the transversal (in degrees)?
  32. 32.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the complement of 59° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 51°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 59°. What is the angle next to it on the same line (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its alternate interior angle (in degrees)?
  38. 38.Are 44° and 136° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  39. 39.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  40. 40.Are 15° and 165° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary

Answer key

  1. 114
  2. 7
  3. Supplementary
  4. 94
  5. 51
  6. Complementary
  7. Supplementary
  8. 146
  9. 150
  10. 97
  11. 96
  12. 97
  13. 111
  14. 55
  15. 113
  16. 138
  17. 101
  18. Complementary
  19. 40
  20. 107
  21. 58
  22. 127
  23. 31
  24. 135
  25. 69
  26. Neither
  27. Supplementary
  28. 65
  29. Neither
  30. 77
  31. 92
  32. 56
  33. 57
  34. 31
  35. 51
  36. 121
  37. 60
  38. Supplementary
  39. 59
  40. Supplementary

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