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AffanX
Yes it is. Look, first draw the given angle, then bisect it and draw the bisector of the angle. Now, you will get 2 equal angles bisect any one of those two and you will get 1/4 of the given original angle.

Yes, it is possible to construct an angle with 1/4 the measure of a given angle.

What is an angle bisector?

An angle bisector is defined as a line that divides an angle into two equal angles.

Draw the given angle first, then cut it in half, and then draw the angle's bisector.

Now, you will have two equal angles that you can divide into two parts and You will receive one-fourth of the initial angle provided.

Therefore yes, it is possible to construct an angle with 1/4 the measure of a given angle.

Learn more about Angle bisector here:

brainly.com/question/2478436

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