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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 896 · 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 angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 124°. What is the angle next to it on the same line (in degrees)?
  3. 3.What is the complement of 27° (in degrees)?
  4. 4.What is the complement of 80° (in degrees)?
  5. 5.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  6. 6.Are 28° and 62° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  7. 7.What is the complement of 9° (in degrees)?
  8. 8.What is the supplement of 174° (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 87°. What is its alternate interior angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 112°. What is the angle next to it on the same line (in degrees)?
  11. 11.What is the supplement of 61° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 138°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.Two angles are supplementary. One is 104° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two angles are supplementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the supplement of 150° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 32°. What is its corresponding angle (in degrees)?
  17. 17.What is the supplement of 27° (in degrees)?
  18. 18.Two angles are supplementary. One is 128° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the complement of 61° (in degrees)?
  20. 20.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 121°. What is its alternate interior angle (in degrees)?
  22. 22.What is the complement of 66° (in degrees)?
  23. 23.What is the complement of 82° (in degrees)?
  24. 24.What is the supplement of 86° (in degrees)?
  25. 25.Are 15° and 165° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  26. 26.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 120°. What is its corresponding angle (in degrees)?
  28. 28.What is the complement of 16° (in degrees)?
  29. 29.What is the supplement of 5° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 77°. What is its alternate interior angle (in degrees)?
  31. 31.Are 23° and 157° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  32. 32.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the complement of 17° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 88°. What is its alternate interior angle (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 65°. What is its alternate interior angle (in degrees)?
  36. 36.What is the supplement of 162° (in degrees)?
  37. 37.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  38. 38.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 98°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Are 41° and 136° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary

Answer key

  1. 50
  2. 56
  3. 63
  4. 10
  5. 69
  6. Complementary
  7. 81
  8. 6
  9. 87
  10. 68
  11. 119
  12. 42
  13. 142
  14. 104
  15. 30
  16. 32
  17. 153
  18. 154
  19. 29
  20. 55
  21. 121
  22. 24
  23. 8
  24. 94
  25. Supplementary
  26. 152
  27. 120
  28. 74
  29. 175
  30. 77
  31. Supplementary
  32. 150
  33. 73
  34. 88
  35. 65
  36. 18
  37. 66
  38. 68
  39. 98
  40. Neither

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