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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 152 · 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.Are 25° and 12° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  2. 2.What is the complement of 6° (in degrees)?
  3. 3.Two angles are supplementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the supplement of 24° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 123°. What is the angle vertically opposite to it (in degrees)?
  6. 6.What is the supplement of 10° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One angle is 51°. What is its corresponding angle (in degrees)?
  8. 8.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the complement of 68° (in degrees)?
  10. 10.What is the complement of 61° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 83°. What is the angle next to it on the same line (in degrees)?
  12. 12.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 35°. What is the angle vertically opposite to it (in degrees)?
  14. 14.What is the complement of 69° (in degrees)?
  15. 15.What is the complement of 15° (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 37°. What is the angle next to it on the same line (in degrees)?
  17. 17.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  20. 20.Are 35° and 148° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  21. 21.What is the complement of 51° (in degrees)?
  22. 22.Are 63° and 5° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  23. 23.What is the supplement of 152° (in degrees)?
  24. 24.What is the supplement of 163° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 63°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 86°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 62°. What is the angle vertically opposite to it (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 60°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.What is the supplement of 129° (in degrees)?
  32. 32.Two angles are supplementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the supplement of 56° (in degrees)?
  34. 34.Two angles are supplementary. One is 90° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 142°. What is its corresponding angle (in degrees)?
  36. 36.What is the complement of 5° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 92°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.Are 67° and 113° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  39. 39.Two straight lines cross each other. One of the angles formed is 144°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Are 55° and 125° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary

Answer key

  1. Neither
  2. 84
  3. 125
  4. 156
  5. 123
  6. 170
  7. 51
  8. 105
  9. 22
  10. 29
  11. 97
  12. 113
  13. 35
  14. 21
  15. 75
  16. 143
  17. 50
  18. 79
  19. 63
  20. Neither
  21. 39
  22. Neither
  23. 28
  24. 17
  25. 63
  26. 78
  27. 94
  28. 62
  29. 60
  30. 50
  31. 51
  32. 104
  33. 124
  34. 135
  35. 142
  36. 85
  37. 88
  38. Supplementary
  39. 144
  40. Supplementary

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