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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 771 · 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 70°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 54°. What is its alternate interior angle (in degrees)?
  4. 4.What is the supplement of 61° (in degrees)?
  5. 5.What is the complement of 31° (in degrees)?
  6. 6.What is the complement of 14° (in degrees)?
  7. 7.Are 14° and 95° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  8. 8.What is the complement of 17° (in degrees)?
  9. 9.What is the supplement of 79° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 70°. What is its corresponding angle (in degrees)?
  11. 11.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  12. 12.What is the complement of 73° (in degrees)?
  13. 13.What is the supplement of 141° (in degrees)?
  14. 14.What is the supplement of 168° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One angle is 142°. What is its corresponding angle (in degrees)?
  16. 16.Two angles are supplementary. One is 74° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the complement of 36° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 129°. What is the angle vertically opposite to it (in degrees)?
  19. 19.What is the supplement of 6° (in degrees)?
  20. 20.What is the complement of 6° (in degrees)?
  21. 21.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the supplement of 10° (in degrees)?
  23. 23.What is the supplement of 132° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 69°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 63°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 42°. What is the angle vertically opposite to it (in degrees)?
  27. 27.What is the supplement of 97° (in degrees)?
  28. 28.Two angles are supplementary. One is 82° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One angle is 48°. What is its corresponding angle (in degrees)?
  30. 30.Are 21° and 159° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 145°. What is its alternate interior angle (in degrees)?
  32. 32.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 49°. What is the angle next to it on the same line (in degrees)?
  34. 34.What is the supplement of 126° (in degrees)?
  35. 35.What is the complement of 55° (in degrees)?
  36. 36.What is the supplement of 99° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 117°. What is the angle next to it on the same line (in degrees)?
  38. 38.What is the complement of 8° (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 75°. What is the angle next to it on the same line (in degrees)?
  40. 40.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 70
  2. 62
  3. 54
  4. 119
  5. 59
  6. 76
  7. Neither
  8. 73
  9. 101
  10. 70
  11. 69
  12. 17
  13. 39
  14. 12
  15. 142
  16. 127
  17. 54
  18. 129
  19. 174
  20. 84
  21. 51
  22. 170
  23. 48
  24. 111
  25. 117
  26. 42
  27. 83
  28. 131
  29. 48
  30. Supplementary
  31. 145
  32. 118
  33. 131
  34. 54
  35. 35
  36. 81
  37. 63
  38. 82
  39. 105
  40. 108

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