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 213176: 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 math problem solving(30) About Me  (Show Source):
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Note that in a right triangle, the sum of the measures of the two acute angles is 90 degrees.
So
6x - 10 + 2x - 4 = 90
Solving for x, we have
8x - 14 = 90
8x = 104
x = 104/8
x = 13
Therefore the measures of the angles are:
one is 6x - 10 = 6*13 - 10 = 68 degrees
the other is 2x - 4 = 2*13 - 4 = 22 degrees
Thus the measure of the larger one is 68 degrees.