Well, honey, if you're talking about a circle, then a quarter of an angle would be 90 degrees. That's because a full circle has 360 degrees, so a quarter would be a nice and neat 90 degrees. So, there you have it, a fourth of an angle measures 90 degrees.
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There are at least two ways to find 1/4 of an angle. One is to measure the angle with a protractor and divide by 4. The other is to use Euclid's straight-edge-and-compass construction for the bisector of the angle. This gives half the angle. Then use the same construction again on the half angle to get one fourth of the original angle.
360X^-1 then go to your table of values and you will be able to see all the angle measures for every side
If it's a parallelogram then the other 3 angles are 75, 105 and 105 degrees
The answer is 24!!!360 divided by 15 equals 24.
An acute angle.
A right angle measures 90 degrees