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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 71 · 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 100°. What is its alternate interior angle (in degrees)?
  2. 2.What is the supplement of 124° (in degrees)?
  3. 3.Two angles are supplementary. One is 100° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the supplement of 125° (in degrees)?
  5. 5.What is the complement of 25° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 140°. What is its alternate interior angle (in degrees)?
  7. 7.Are 53° and 57° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  8. 8.What is the complement of 44° (in degrees)?
  9. 9.What is the supplement of 100° (in degrees)?
  10. 10.What is the supplement of 164° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 60°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 53°. 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 91°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Are 59° and 121° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  15. 15.Two parallel lines are cut by a transversal. One angle is 38°. What is its corresponding angle (in degrees)?
  16. 16.Are 69° and 111° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  17. 17.What is the supplement of 171° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 144°. What is its corresponding angle (in degrees)?
  19. 19.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)?
  20. 20.Are 42° and 48° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  21. 21.Two angles are supplementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the supplement of 6° (in degrees)?
  23. 23.What is the complement of 17° (in degrees)?
  24. 24.What is the complement of 28° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 25°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 77°. What is its corresponding angle (in degrees)?
  27. 27.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  29. 29.What is the supplement of 89° (in degrees)?
  30. 30.Are 76° and 14° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  31. 31.Are 12° and 78° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  32. 32.What is the complement of 34° (in degrees)?
  33. 33.Are 80° and 10° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  34. 34.Two straight lines cross each other. One of the angles formed is 134°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Are 32° and 56° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 53°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 141°. What is the angle next to it on the same line (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 135°. What is its other interior angle on the same side of the transversal (in degrees)?
  39. 39.What is the supplement of 17° (in degrees)?
  40. 40.Are 43° and 47° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary

Answer key

  1. 100
  2. 56
  3. 140
  4. 55
  5. 65
  6. 140
  7. Neither
  8. 46
  9. 80
  10. 16
  11. 60
  12. 127
  13. 91
  14. Supplementary
  15. 38
  16. Supplementary
  17. 9
  18. 144
  19. 121
  20. Complementary
  21. 104
  22. 174
  23. 73
  24. 62
  25. 25
  26. 77
  27. 97
  28. 52
  29. 91
  30. Complementary
  31. Complementary
  32. 56
  33. Complementary
  34. 134
  35. Neither
  36. 127
  37. 39
  38. 45
  39. 163
  40. Complementary

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