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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 436 · 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 54°. What is the angle vertically opposite to it (in degrees)?
  2. 2.What is the supplement of 174° (in degrees)?
  3. 3.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the supplement of 18° (in degrees)?
  5. 5.What is the complement of 15° (in degrees)?
  6. 6.What is the complement of 23° (in degrees)?
  7. 7.What is the complement of 50° (in degrees)?
  8. 8.What is the complement of 32° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 66°. What is the angle next to it on the same line (in degrees)?
  10. 10.What is the supplement of 142° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 62°. What is the angle next to it on the same line (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One angle is 49°. What is its corresponding angle (in degrees)?
  13. 13.What is the complement of 29° (in degrees)?
  14. 14.What is the supplement of 121° (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 144°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Are 13° and 41° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  17. 17.Two parallel lines are cut by a transversal. One angle is 93°. What is its corresponding angle (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 136°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.Are 32° and 86° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  20. 20.What is the supplement of 5° (in degrees)?
  21. 21.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 120°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 29°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 59°. What is its corresponding angle (in degrees)?
  25. 25.What is the supplement of 30° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its alternate interior angle (in degrees)?
  27. 27.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the complement of 35° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 49°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One angle is 123°. What is its corresponding angle (in degrees)?
  31. 31.Are 72° and 18° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  32. 32.Are 23° and 67° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  33. 33.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the complement of 22° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 155°. What is the angle next to it on the same line (in degrees)?
  36. 36.Are 61° and 119° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  37. 37.What is the supplement of 87° (in degrees)?
  38. 38.Are 66° and 114° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  39. 39.Two angles are supplementary. One is 74° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the complement of 11° (in degrees)?

Answer key

  1. 54
  2. 6
  3. 59
  4. 162
  5. 75
  6. 67
  7. 40
  8. 58
  9. 114
  10. 38
  11. 118
  12. 49
  13. 61
  14. 59
  15. 144
  16. Neither
  17. 93
  18. 44
  19. Neither
  20. 175
  21. 51
  22. 60
  23. 29
  24. 59
  25. 150
  26. 60
  27. 105
  28. 55
  29. 131
  30. 123
  31. Complementary
  32. Complementary
  33. 149
  34. 68
  35. 25
  36. Supplementary
  37. 93
  38. Supplementary
  39. 127
  40. 79

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