Problema Solution
Find the measure of each acute angle in a right triangle where the measure of one acute angle is twice the difference of the measure of the other acute angle and 12.
Answer provided by our tutors
Let 'x' denote one of the acute angles, than the other acute angle is 2(x - 12)
The sum of the acute angles in the right triangle equals 90:
x + 2(x - 12) = 90
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click here to see the equation solved for the angle x
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x = 38 degrees
2(x - 12) = 2*(38 - 12) = 2*26 = 52 degrees
The acute angles measures are: 38 degrees and 52 degrees.