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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 522 · 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 34° (in degrees)?
  2. 2.What is the supplement of 96° (in degrees)?
  3. 3.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the complement of 24° (in degrees)?
  5. 5.What is the complement of 29° (in degrees)?
  6. 6.What is the complement of 28° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 61°. What is the angle next to it on the same line (in degrees)?
  8. 8.What is the supplement of 38° (in degrees)?
  9. 9.What is the supplement of 44° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 49°. What is its corresponding angle (in degrees)?
  11. 11.What is the complement of 13° (in degrees)?
  12. 12.What is the complement of 50° (in degrees)?
  13. 13.What is the supplement of 120° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 63°. What is the angle next to it on the same line (in degrees)?
  15. 15.What is the supplement of 21° (in degrees)?
  16. 16.What is the complement of 32° (in degrees)?
  17. 17.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 133°. What is its alternate interior angle (in degrees)?
  19. 19.What is the complement of 64° (in degrees)?
  20. 20.What is the complement of 55° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One angle is 123°. What is its corresponding angle (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 54°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Are 66° and 114° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  24. 24.Two straight lines cross each other. One of the angles formed is 94°. What is the angle next to it on the same line (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 66°. 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 99°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Are 25° and 65° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  28. 28.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  29. 29.What is the supplement of 163° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 69°. What is the angle next to it on the same line (in degrees)?
  31. 31.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the supplement of 153° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 98°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 58°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 109°. What is its corresponding angle (in degrees)?
  36. 36.Two angles are supplementary. One is 112° more than the other. What is the bigger angle (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 21°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Two angles are supplementary. One is 136° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 56
  2. 84
  3. 66
  4. 66
  5. 61
  6. 62
  7. 119
  8. 142
  9. 136
  10. 49
  11. 77
  12. 40
  13. 60
  14. 117
  15. 159
  16. 58
  17. 60
  18. 133
  19. 26
  20. 35
  21. 123
  22. 54
  23. Supplementary
  24. 86
  25. 114
  26. 99
  27. Complementary
  28. 72
  29. 17
  30. 111
  31. 50
  32. 27
  33. 98
  34. 58
  35. 109
  36. 146
  37. 62
  38. 21
  39. 158
  40. 99

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