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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 546 · 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 52°. What is its alternate interior angle (in degrees)?
  2. 2.What is the supplement of 85° (in degrees)?
  3. 3.Are 66° and 114° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  4. 4.Two straight lines cross each other. One of the angles formed is 32°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Are 54° and 36° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  6. 6.Two parallel lines are cut by a transversal. One angle is 119°. What is its corresponding angle (in degrees)?
  7. 7.Are 35° and 55° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  8. 8.What is the complement of 65° (in degrees)?
  9. 9.What is the complement of 42° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 28°. What is the angle next to it on the same line (in degrees)?
  11. 11.Are 17° and 163° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  12. 12.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One angle is 101°. What is its corresponding angle (in degrees)?
  14. 14.What is the complement of 71° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 43°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.Are 31° and 59° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  17. 17.What is the complement of 62° (in degrees)?
  18. 18.What is the complement of 12° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 40°. What is its corresponding angle (in degrees)?
  20. 20.Two angles are supplementary. One is 112° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 77°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.What is the complement of 81° (in degrees)?
  23. 23.Two angles are supplementary. One is 128° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the supplement of 111° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 38°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 43°. What is its corresponding angle (in degrees)?
  27. 27.Are 10° and 170° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  28. 28.What is the supplement of 159° (in degrees)?
  29. 29.Are 21° and 69° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  30. 30.What is the complement of 14° (in degrees)?
  31. 31.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 58°. What is the angle vertically opposite to it (in degrees)?
  33. 33.What is the complement of 50° (in degrees)?
  34. 34.What is the supplement of 37° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 49°. What is the angle next to it on the same line (in degrees)?
  36. 36.What is the complement of 10° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 138°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.Are 39° and 51° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  39. 39.What is the supplement of 90° (in degrees)?
  40. 40.Are 22° and 68° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary

Answer key

  1. 52
  2. 95
  3. Supplementary
  4. 32
  5. Complementary
  6. 119
  7. Complementary
  8. 25
  9. 48
  10. 152
  11. Supplementary
  12. 73
  13. 101
  14. 19
  15. 137
  16. Complementary
  17. 28
  18. 78
  19. 40
  20. 146
  21. 103
  22. 9
  23. 154
  24. 69
  25. 38
  26. 43
  27. Supplementary
  28. 21
  29. Complementary
  30. 76
  31. 60
  32. 58
  33. 40
  34. 143
  35. 131
  36. 80
  37. 42
  38. Complementary
  39. 90
  40. Complementary

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