Question

Split a right angle into three equal angles. What is the measure of each smaller angle

Answer 1

Each angle is 30 degrees. They are all acute angles.

A right angle has 90 degrees. If split into 3 equal parts, you have to divide 90 by 3.

So that's 90/3 = 30

As well, angles smaller than right angles (<90 degrees) are acute angles. As 30<90, the split angles are acute angles.

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Answer 2

Step-by-step explanation:

This is known as “trisecting an angle”. With only a compass and straight edge it is impossible, except for a few special angles. For example you can trisect any 90° into three 30° angles.

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