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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 389 · 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 48° (in degrees)?
  2. 2.What is the complement of 8° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 32°. What is the angle vertically opposite to it (in degrees)?
  4. 4.What is the complement of 47° (in degrees)?
  5. 5.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 31°. What is the angle next to it on the same line (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 43°. What is the angle next to it on the same line (in degrees)?
  8. 8.What is the complement of 31° (in degrees)?
  9. 9.What is the supplement of 9° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 88°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the supplement of 17° (in degrees)?
  12. 12.What is the complement of 79° (in degrees)?
  13. 13.What is the supplement of 34° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its alternate interior angle (in degrees)?
  15. 15.Are 45° and 45° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  16. 16.Are 26° and 154° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 37°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 64°. What is the angle next to it on the same line (in degrees)?
  20. 20.What is the supplement of 157° (in degrees)?
  21. 21.What is the complement of 61° (in degrees)?
  22. 22.What is the complement of 77° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 136°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Are 29° and 151° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  25. 25.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  26. 26.Are 38° and 50° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  27. 27.Two straight lines cross each other. One of the angles formed is 35°. What is the angle next to it on the same line (in degrees)?
  28. 28.What is the complement of 45° (in degrees)?
  29. 29.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 131°. What is the angle next to it on the same line (in degrees)?
  31. 31.Two angles are complementary. One is 10° 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 72°. What is the angle next to it on the same line (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 155°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 134°. What is the angle next to it on the same line (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 61°. What is its alternate interior angle (in degrees)?
  36. 36.What is the supplement of 95° (in degrees)?
  37. 37.Are 40° and 50° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 54°. What is its other interior angle on the same side of the transversal (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 120°. What is its alternate interior angle (in degrees)?
  40. 40.Are 19° and 71° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary

Answer key

  1. 42
  2. 82
  3. 32
  4. 43
  5. 103
  6. 149
  7. 137
  8. 59
  9. 171
  10. 88
  11. 163
  12. 11
  13. 146
  14. 38
  15. Complementary
  16. Supplementary
  17. 143
  18. 59
  19. 116
  20. 23
  21. 29
  22. 13
  23. 136
  24. Supplementary
  25. 77
  26. Neither
  27. 145
  28. 45
  29. 58
  30. 49
  31. 50
  32. 108
  33. 155
  34. 46
  35. 61
  36. 85
  37. Complementary
  38. 126
  39. 120
  40. Complementary

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