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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 558 · 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 107°. What is its alternate interior angle (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 102°. What is the angle next to it on the same line (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 55°. What is its alternate interior angle (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 88°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 43°. What is the angle vertically opposite to it (in degrees)?
  6. 6.Two angles are supplementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the supplement of 14° (in degrees)?
  8. 8.What is the complement of 61° (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One angle is 127°. What is its corresponding angle (in degrees)?
  10. 10.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)?
  11. 11.What is the complement of 64° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 86°. What is its alternate interior angle (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 37°. What is its alternate interior angle (in degrees)?
  14. 14.What is the supplement of 164° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One angle is 101°. What is its corresponding angle (in degrees)?
  16. 16.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the complement of 71° (in degrees)?
  18. 18.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)?
  19. 19.What is the complement of 36° (in degrees)?
  20. 20.Are 77° and 103° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  21. 21.Two parallel lines are cut by a transversal. One angle is 82°. What is its corresponding angle (in degrees)?
  22. 22.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the supplement of 68° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 124°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 91°. What is the angle next to it on the same line (in degrees)?
  26. 26.What is the complement of 63° (in degrees)?
  27. 27.Two angles are supplementary. One is 136° more than the other. What is the bigger angle (in degrees)?
  28. 28.Are 58° and 51° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  29. 29.Are 38° and 52° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  30. 30.Are 16° and 74° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  31. 31.What is the complement of 27° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 30°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.What is the supplement of 43° (in degrees)?
  34. 34.What is the complement of 66° (in degrees)?
  35. 35.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)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 126°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 34°. What is its corresponding angle (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 72°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 125°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One angle is 74°. What is its corresponding angle (in degrees)?

Answer key

  1. 107
  2. 78
  3. 55
  4. 88
  5. 43
  6. 119
  7. 166
  8. 29
  9. 127
  10. 62
  11. 26
  12. 86
  13. 37
  14. 16
  15. 101
  16. 75
  17. 19
  18. 111
  19. 54
  20. Supplementary
  21. 82
  22. 78
  23. 112
  24. 56
  25. 89
  26. 27
  27. 158
  28. Neither
  29. Complementary
  30. Complementary
  31. 63
  32. 150
  33. 137
  34. 24
  35. 131
  36. 54
  37. 34
  38. 72
  39. 125
  40. 74

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