We are given an angle A and we have to construct an angle whose measure is 1/4 times of A
In other words, we have to divide A into 4 equal angles so that one such angle will satisfy this condition.
For dividing into 4 equal angles, we can try bisecting first angle A. Then take any one angle which equals now 1/2 of A and draw bisector for this angle.
Now the new angle formed would be the required angle which would be 1/4 of angle A
Hence option A is right.
A) Construct the angle bisector of angle A, and then construct the bisector of one of the newly created angles.
Answer A: let’s say the measure of A is 80 degrees. An angle bisector of angle A would be 40 degrees. A bisector of that angle would be 20 degrees. 20 Is 1/4 of 80 or 20*4=80
