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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 10 · 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 50° (in degrees)?
  2. 2.What is the supplement of 159° (in degrees)?
  3. 3.What is the complement of 9° (in degrees)?
  4. 4.What is the complement of 69° (in degrees)?
  5. 5.What is the supplement of 163° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One angle is 145°. What is its corresponding angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 136°. What is the angle vertically opposite to it (in degrees)?
  9. 9.What is the complement of 11° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 58°. What is its alternate interior angle (in degrees)?
  11. 11.What is the complement of 63° (in degrees)?
  12. 12.What is the complement of 7° (in degrees)?
  13. 13.Are 17° and 163° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  14. 14.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the supplement of 120° (in degrees)?
  16. 16.What is the complement of 51° (in degrees)?
  17. 17.What is the complement of 31° (in degrees)?
  18. 18.What is the supplement of 48° (in degrees)?
  19. 19.Are 12° and 158° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  20. 20.What is the supplement of 30° (in degrees)?
  21. 21.What is the supplement of 74° (in degrees)?
  22. 22.Two angles are supplementary. One is 112° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the supplement of 99° (in degrees)?
  24. 24.What is the supplement of 108° (in degrees)?
  25. 25.What is the supplement of 38° (in degrees)?
  26. 26.Are 39° and 51° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  27. 27.What is the complement of 25° (in degrees)?
  28. 28.Are 47° and 43° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  29. 29.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 148° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 98°. What is its other interior angle on the same side of the transversal (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 54°. 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 78°. What is the angle vertically opposite to it (in degrees)?
  34. 34.What is the complement of 84° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 51°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 67°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 116°. What is its corresponding angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 137°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Are 55° and 111° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither

Answer key

  1. 40
  2. 21
  3. 81
  4. 21
  5. 17
  6. 145
  7. 145
  8. 136
  9. 79
  10. 58
  11. 27
  12. 83
  13. Supplementary
  14. 54
  15. 60
  16. 39
  17. 59
  18. 132
  19. Neither
  20. 150
  21. 106
  22. 146
  23. 81
  24. 72
  25. 142
  26. Complementary
  27. 65
  28. Complementary
  29. 51
  30. 32
  31. 82
  32. 126
  33. 78
  34. 6
  35. 51
  36. 46
  37. 67
  38. 116
  39. 137
  40. Neither

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