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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 801 · 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 parallel lines are cut by a transversal. One interior angle is 72°. What is its alternate interior angle (in degrees)?
  2. 2.What is the complement of 16° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 64°. What is its alternate interior angle (in degrees)?
  4. 4.Are 23° and 67° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  5. 5.Two angles are supplementary. One is 78° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the supplement of 95° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One angle is 44°. What is its corresponding angle (in degrees)?
  8. 8.What is the complement of 27° (in degrees)?
  9. 9.Are 59° and 29° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  10. 10.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the complement of 62° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 121°. What is the angle next to it on the same line (in degrees)?
  13. 13.What is the complement of 57° (in degrees)?
  14. 14.What is the supplement of 82° (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 149°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Are 16° and 164° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  17. 17.What is the supplement of 117° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 92°. What is its corresponding angle (in degrees)?
  19. 19.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  20. 20.Are 59° and 31° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  21. 21.What is the supplement of 169° (in degrees)?
  22. 22.What is the supplement of 113° (in degrees)?
  23. 23.What is the complement of 28° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 135°. What is its corresponding angle (in degrees)?
  25. 25.What is the supplement of 155° (in degrees)?
  26. 26.What is the complement of 39° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 44°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 52°. What is the angle vertically opposite to it (in degrees)?
  30. 30.What is the supplement of 109° (in degrees)?
  31. 31.What is the supplement of 54° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 138°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 47°. What is its other interior angle on the same side of the transversal (in degrees)?
  34. 34.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 46°. What is the angle vertically opposite to it (in degrees)?
  36. 36.What is the complement of 80° (in degrees)?
  37. 37.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  38. 38.What is the supplement of 163° (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 36°. What is the angle vertically opposite to it (in degrees)?
  40. 40.What is the complement of 76° (in degrees)?

Answer key

  1. 72
  2. 74
  3. 64
  4. Complementary
  5. 129
  6. 85
  7. 44
  8. 63
  9. Neither
  10. 57
  11. 28
  12. 59
  13. 33
  14. 98
  15. 149
  16. Supplementary
  17. 63
  18. 92
  19. 143
  20. Complementary
  21. 11
  22. 67
  23. 62
  24. 135
  25. 25
  26. 51
  27. 44
  28. 132
  29. 52
  30. 71
  31. 126
  32. 138
  33. 133
  34. 122
  35. 46
  36. 10
  37. 51
  38. 17
  39. 36
  40. 14

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