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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 892 · 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 23° (in degrees)?
  2. 2.Are 19° and 161° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  3. 3.Two straight lines cross each other. One of the angles formed is 95°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 52°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.What is the complement of 5° (in degrees)?
  6. 6.What is the supplement of 52° (in degrees)?
  7. 7.What is the supplement of 29° (in degrees)?
  8. 8.What is the complement of 74° (in degrees)?
  9. 9.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 69°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the complement of 43° (in degrees)?
  12. 12.What is the complement of 61° (in degrees)?
  13. 13.What is the supplement of 86° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 34°. What is the angle next to it on the same line (in degrees)?
  15. 15.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the supplement of 133° (in degrees)?
  17. 17.What is the complement of 8° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 143°. What is the angle next to it on the same line (in degrees)?
  19. 19.Are 74° and 106° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  20. 20.What is the complement of 34° (in degrees)?
  21. 21.What is the supplement of 45° (in degrees)?
  22. 22.What is the supplement of 57° (in degrees)?
  23. 23.Are 41° and 49° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  24. 24.Are 65° and 115° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  25. 25.Are 12° and 71° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  26. 26.Two straight lines cross each other. One of the angles formed is 111°. What is the angle next to it on the same line (in degrees)?
  27. 27.Two angles are supplementary. One is 96° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 107°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 62°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 49°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two angles are supplementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the supplement of 10° (in degrees)?
  36. 36.What is the complement of 80° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 60°. What is the angle next to it on the same line (in degrees)?
  38. 38.What is the supplement of 44° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One angle is 41°. What is its corresponding angle (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 155°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 67
  2. Supplementary
  3. 95
  4. 128
  5. 85
  6. 128
  7. 151
  8. 16
  9. 48
  10. 69
  11. 47
  12. 29
  13. 94
  14. 146
  15. 78
  16. 47
  17. 82
  18. 37
  19. Supplementary
  20. 56
  21. 135
  22. 123
  23. Complementary
  24. Supplementary
  25. Neither
  26. 69
  27. 138
  28. 49
  29. 59
  30. 47
  31. 107
  32. 118
  33. 49
  34. 112
  35. 170
  36. 10
  37. 120
  38. 136
  39. 41
  40. 155

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