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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 843 · 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.What is the complement of 21° (in degrees)?
  2. 2.Are 10° and 170° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  3. 3.Two parallel lines are cut by a transversal. One angle is 68°. What is its corresponding angle (in degrees)?
  4. 4.Are 17° and 163° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  5. 5.What is the supplement of 12° (in degrees)?
  6. 6.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 152°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  9. 9.Are 47° and 169° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  10. 10.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 120°. What is its alternate interior angle (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 32°. What is the angle next to it on the same line (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 91°. What is the angle next to it on the same line (in degrees)?
  15. 15.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 90°. What is its corresponding angle (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 147°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.What is the supplement of 164° (in degrees)?
  19. 19.What is the complement of 65° (in degrees)?
  20. 20.Are 38° and 142° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  21. 21.What is the supplement of 92° (in degrees)?
  22. 22.What is the supplement of 38° (in degrees)?
  23. 23.What is the complement of 49° (in degrees)?
  24. 24.What is the supplement of 56° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 158°. What is the angle vertically opposite to it (in degrees)?
  26. 26.What is the complement of 58° (in degrees)?
  27. 27.Are 18° and 14° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  28. 28.Are 62° and 28° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  29. 29.Two angles are supplementary. One is 114° more than the other. What is the bigger angle (in degrees)?
  30. 30.Are 71° and 109° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  31. 31.Two straight lines cross each other. One of the angles formed is 47°. What is the angle vertically opposite to it (in degrees)?
  32. 32.What is the complement of 80° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 109°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 61°. What is the angle vertically opposite to it (in degrees)?
  35. 35.What is the supplement of 167° (in degrees)?
  36. 36.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 156°. What is the angle next to it on the same line (in degrees)?
  38. 38.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)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 50°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.Two angles are supplementary. One is 66° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 69
  2. Supplementary
  3. 68
  4. Supplementary
  5. 168
  6. 51
  7. 152
  8. 49
  9. Neither
  10. 77
  11. 103
  12. 120
  13. 148
  14. 89
  15. 55
  16. 90
  17. 33
  18. 16
  19. 25
  20. Supplementary
  21. 88
  22. 142
  23. 41
  24. 124
  25. 158
  26. 32
  27. Neither
  28. Complementary
  29. 147
  30. Supplementary
  31. 47
  32. 10
  33. 109
  34. 61
  35. 13
  36. 159
  37. 24
  38. 111
  39. 130
  40. 123

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