SOLUTION: In a right triangle, if one acute angle has measure 6x-10 and the other has measure 2x-4, find the larger of these two angles.
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Question 325732: In a right triangle, if one acute angle has measure 6x-10 and the other has measure 2x-4, find the larger of these two angles. Answer by solver91311(24713) (Show Source):
The sum of the measures of the angles of any triangle is . Therefore, in a right triangle, where one of the angles measures , the sum of the other two angles must be .
Hence in your triangle,
Solve for and then substitute back into and . Report the largest value.
