SOLUTION: In a right triangle, one acute angle is 54° more than twice the other. Find each acute angle.

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Question 1111777: In a right triangle, one acute angle is 54° more than twice the other. Find each acute angle.
Answer by ikleyn(52772) About Me  (Show Source):
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Let x be that acute angle.  Then the condition says


x = 2*(90-x) + 54 degree,

x = 180 - 2x + 54

3x = 180 + 54

x = 60 + 18 = 78.


Answer.    78 degrees  and  90-78 = 12 degrees.