Question 642241: the measure of the larger acute angle of a right triangle is 15 more than twice the measure of the smaller. What is the the measure of the larger acute angle.
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! Let  be the measure, in degrees, of the smaller acute angle.
If the measure of the larger acute angle is  more than twice that,
the measure of the larger acute angle, in degrees, is
In a right triangle, the measures of both acute angles add up to  , so
first we solve for , the measure, in degrees, of the smaller acute angle:
-->  -->  --> 
-->  --> 
The measure of the larger acute angle, in degrees, is
or 
The larger acute angle measures  .
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