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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 976 · 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 58°. What is the angle vertically opposite to it (in degrees)?
  2. 2.What is the complement of 52° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 42°. What is its alternate interior angle (in degrees)?
  4. 4.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the supplement of 48° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 68°. What is its corresponding angle (in degrees)?
  7. 7.What is the complement of 13° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its other interior angle on the same side of the transversal (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One angle is 49°. What is its corresponding angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 48°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 87°. What is its other interior angle on the same side of the transversal (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One angle is 88°. What is its corresponding angle (in degrees)?
  13. 13.Two angles are supplementary. One is 88° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the complement of 82° (in degrees)?
  15. 15.Are 27° and 63° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  16. 16.What is the supplement of 39° (in degrees)?
  17. 17.What is the complement of 75° (in degrees)?
  18. 18.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 102°. What is its alternate interior angle (in degrees)?
  20. 20.Two angles are complementary. One is 56° 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 131°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.Are 76° and 14° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  23. 23.What is the supplement of 15° (in degrees)?
  24. 24.What is the supplement of 127° (in degrees)?
  25. 25.What is the supplement of 72° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 43°. What is the angle next to it on the same line (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 125°. What is its corresponding angle (in degrees)?
  28. 28.What is the complement of 18° (in degrees)?
  29. 29.What is the complement of 5° (in degrees)?
  30. 30.What is the complement of 19° (in degrees)?
  31. 31.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 70°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.What is the complement of 64° (in degrees)?
  34. 34.What is the supplement of 32° (in degrees)?
  35. 35.Are 19° and 89° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  36. 36.What is the supplement of 96° (in degrees)?
  37. 37.What is the complement of 37° (in degrees)?
  38. 38.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the supplement of 95° (in degrees)?
  40. 40.Two angles are supplementary. One is 114° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 58
  2. 38
  3. 42
  4. 157
  5. 132
  6. 68
  7. 77
  8. 69
  9. 49
  10. 48
  11. 93
  12. 88
  13. 134
  14. 8
  15. Complementary
  16. 141
  17. 15
  18. 71
  19. 102
  20. 73
  21. 49
  22. Complementary
  23. 165
  24. 53
  25. 108
  26. 137
  27. 125
  28. 72
  29. 85
  30. 71
  31. 64
  32. 110
  33. 26
  34. 148
  35. Neither
  36. 84
  37. 53
  38. 65
  39. 85
  40. 147

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