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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 619 · 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 151°. What is the angle next to it on the same line (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its alternate interior angle (in degrees)?
  3. 3.What is the supplement of 22° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One angle is 100°. What is its corresponding angle (in degrees)?
  6. 6.What is the complement of 16° (in degrees)?
  7. 7.What is the complement of 50° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 32°. What is its corresponding angle (in degrees)?
  9. 9.Are 24° and 158° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  10. 10.What is the complement of 57° (in degrees)?
  11. 11.What is the supplement of 131° (in degrees)?
  12. 12.What is the complement of 31° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One angle is 112°. What is its corresponding angle (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 70°. What is its alternate interior angle (in degrees)?
  15. 15.What is the complement of 53° (in degrees)?
  16. 16.Two angles are supplementary. One is 126° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 51° (in degrees)?
  18. 18.Two angles are complementary. One is 8° 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 145°. What is the angle next to it on the same line (in degrees)?
  20. 20.Are 10° and 80° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  21. 21.What is the supplement of 14° (in degrees)?
  22. 22.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 25°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Are 76° and 14° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  25. 25.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 86°. What is its corresponding angle (in degrees)?
  27. 27.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the complement of 58° (in degrees)?
  29. 29.What is the supplement of 143° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 76°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 102°. What is its other interior angle on the same side of the transversal (in degrees)?
  32. 32.What is the supplement of 165° (in degrees)?
  33. 33.Are 37° and 69° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  34. 34.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the supplement of 119° (in degrees)?
  36. 36.What is the supplement of 74° (in degrees)?
  37. 37.Are 29° and 151° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  38. 38.What is the complement of 45° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 46°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 27°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 29
  2. 56
  3. 158
  4. 145
  5. 100
  6. 74
  7. 40
  8. 32
  9. Neither
  10. 33
  11. 49
  12. 59
  13. 112
  14. 70
  15. 37
  16. 153
  17. 129
  18. 49
  19. 35
  20. Complementary
  21. 166
  22. 149
  23. 25
  24. Complementary
  25. 59
  26. 86
  27. 53
  28. 32
  29. 37
  30. 76
  31. 78
  32. 15
  33. Neither
  34. 64
  35. 61
  36. 106
  37. Supplementary
  38. 45
  39. 134
  40. 27

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