SOLUTION: In a right triangle, one acute angle is twice the size of the other. What are their measures?
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Question 725409: In a right triangle, one acute angle is twice the size of the other. What are their measures?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The measures of all 3 angles in any triangle add up to .
A right triangle has a right angle that measures ,
so the measures of the other two angles must add up to .
That means that the measure of each of those other angle will be less than ,
so the other 2 angles are acute angles.
= measure of the smaller acute angle (in degrees) and
= measure of the other acute angle (in degrees).
The sum of those 2 measures (in degrees) is
--> --> -->
So -->
The acute angles measure and .
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