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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 970 · 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 31°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 49°. What is its corresponding angle (in degrees)?
  3. 3.What is the supplement of 146° (in degrees)?
  4. 4.Are 79° and 88° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  5. 5.Two angles are complementary. One is 4° 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 148°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 147°. What is the angle next to it on the same line (in degrees)?
  8. 8.What is the complement of 63° (in degrees)?
  9. 9.What is the supplement of 48° (in degrees)?
  10. 10.What is the complement of 21° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 73°. What is the angle vertically opposite to it (in degrees)?
  12. 12.What is the complement of 71° (in degrees)?
  13. 13.What is the supplement of 65° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 89°. What is its other interior angle on the same side of the transversal (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One angle is 130°. What is its corresponding angle (in degrees)?
  16. 16.What is the complement of 85° (in degrees)?
  17. 17.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)?
  18. 18.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)?
  19. 19.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the complement of 44° (in degrees)?
  21. 21.What is the complement of 34° (in degrees)?
  22. 22.What is the supplement of 130° (in degrees)?
  23. 23.What is the supplement of 114° (in degrees)?
  24. 24.What is the complement of 84° (in degrees)?
  25. 25.What is the complement of 78° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 73°. What is its other interior angle on the same side of the transversal (in degrees)?
  27. 27.What is the supplement of 51° (in degrees)?
  28. 28.Are 26° and 64° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  29. 29.What is the supplement of 41° (in degrees)?
  30. 30.Are 36° and 54° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  31. 31.Two straight lines cross each other. One of the angles formed is 97°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Are 30° and 150° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  33. 33.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the complement of 57° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 132°. What is the angle next to it on the same line (in degrees)?
  36. 36.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  37. 37.What is the complement of 29° (in degrees)?
  38. 38.Are 59° and 25° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  39. 39.What is the supplement of 17° (in degrees)?
  40. 40.Are 35° and 55° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary

Answer key

  1. 31
  2. 49
  3. 34
  4. Neither
  5. 47
  6. 148
  7. 33
  8. 27
  9. 132
  10. 69
  11. 73
  12. 19
  13. 115
  14. 91
  15. 130
  16. 5
  17. 88
  18. 97
  19. 69
  20. 46
  21. 56
  22. 50
  23. 66
  24. 6
  25. 12
  26. 107
  27. 129
  28. Complementary
  29. 139
  30. Complementary
  31. 97
  32. Supplementary
  33. 77
  34. 33
  35. 48
  36. 105
  37. 61
  38. Neither
  39. 163
  40. Complementary

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