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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 977 · 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 106°. What is the angle vertically opposite to it (in degrees)?
  2. 2.What is the complement of 19° (in degrees)?
  3. 3.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  4. 4.Are 57° and 123° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  5. 5.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)?
  6. 6.Two angles are complementary. One is 66° 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 21°. What is the angle vertically opposite to it (in degrees)?
  8. 8.What is the complement of 39° (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One angle is 85°. What is its corresponding angle (in degrees)?
  10. 10.Are 67° and 23° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  11. 11.Two straight lines cross each other. One of the angles formed is 102°. What is the angle next to it on the same line (in degrees)?
  12. 12.What is the supplement of 107° (in degrees)?
  13. 13.Are 65° and 115° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  14. 14.Two angles are supplementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 30°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 112°. What is its alternate interior angle (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One angle is 107°. What is its corresponding angle (in degrees)?
  18. 18.What is the complement of 29° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 126°. What is the angle vertically opposite to it (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 69°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.Are 28° and 152° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 74°. What is its alternate interior angle (in degrees)?
  24. 24.What is the complement of 70° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 105°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Are 52° and 38° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 135°. What is its alternate interior angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 44°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One angle is 56°. What is its corresponding angle (in degrees)?
  31. 31.What is the supplement of 80° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 65°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 51°. What is its other interior angle on the same side of the transversal (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 56°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 92°. What is its alternate interior angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 76°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.What is the supplement of 102° (in degrees)?
  38. 38.What is the supplement of 131° (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 81°. What is the angle next to it on the same line (in degrees)?
  40. 40.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 106
  2. 71
  3. 55
  4. Supplementary
  5. 149
  6. 78
  7. 21
  8. 51
  9. 85
  10. Complementary
  11. 78
  12. 73
  13. Supplementary
  14. 114
  15. 150
  16. 112
  17. 107
  18. 61
  19. 126
  20. 146
  21. 111
  22. Supplementary
  23. 74
  24. 20
  25. 105
  26. Complementary
  27. 135
  28. 136
  29. 62
  30. 56
  31. 100
  32. 115
  33. 129
  34. 56
  35. 92
  36. 104
  37. 78
  38. 49
  39. 99
  40. 48

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