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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 135 · 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 31° and 59° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  2. 2.What is the complement of 68° (in degrees)?
  3. 3.Are 18° and 38° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 148°. What is its alternate interior angle (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 154°. What is the angle next to it on the same line (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 54°. What is its alternate interior angle (in degrees)?
  7. 7.What is the complement of 25° (in degrees)?
  8. 8.What is the supplement of 95° (in degrees)?
  9. 9.What is the supplement of 34° (in degrees)?
  10. 10.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 30°. What is the angle vertically opposite to it (in degrees)?
  12. 12.What is the complement of 67° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 24°. What is the angle next to it on the same line (in degrees)?
  14. 14.What is the complement of 33° (in degrees)?
  15. 15.Two angles are supplementary. One is 74° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the complement of 74° (in degrees)?
  17. 17.What is the complement of 15° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 47°. What is its corresponding angle (in degrees)?
  19. 19.Are 65° and 115° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  20. 20.Two straight lines cross each other. One of the angles formed is 75°. What is the angle vertically opposite to it (in degrees)?
  21. 21.What is the supplement of 60° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 36°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.What is the complement of 30° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 58°. What is its corresponding angle (in degrees)?
  25. 25.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the complement of 52° (in degrees)?
  27. 27.Are 65° and 25° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  28. 28.Are 40° and 159° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  29. 29.Two straight lines cross each other. One of the angles formed is 35°. What is the angle vertically opposite to it (in degrees)?
  30. 30.What is the supplement of 113° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 42°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 129°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.What is the supplement of 29° (in degrees)?
  34. 34.Are 20° and 70° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  35. 35.What is the supplement of 117° (in degrees)?
  36. 36.Two angles are supplementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  37. 37.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 106°. What is the angle next to it on the same line (in degrees)?
  39. 39.What is the supplement of 75° (in degrees)?
  40. 40.What is the complement of 63° (in degrees)?

Answer key

  1. Complementary
  2. 22
  3. Neither
  4. 148
  5. 26
  6. 54
  7. 65
  8. 85
  9. 146
  10. 151
  11. 30
  12. 23
  13. 156
  14. 57
  15. 127
  16. 16
  17. 75
  18. 47
  19. Supplementary
  20. 75
  21. 120
  22. 144
  23. 60
  24. 58
  25. 80
  26. 38
  27. Complementary
  28. Neither
  29. 35
  30. 67
  31. 42
  32. 51
  33. 151
  34. Complementary
  35. 63
  36. 125
  37. 46
  38. 74
  39. 105
  40. 27

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