SOLUTION: An acute angle is an angle whose measure is less than 90 degrees. A right triangle is a triangle with one right angle, 90 degrees and 2 acute angles. One of the acute angles in a r

Question 427954: An acute angle is an angle whose measure is less than 90 degrees. A right triangle is a triangle with one right angle, 90 degrees and 2 acute angles. One of the acute angles in a right triangle is 15 degrees less than twice the measure of the other acute angle. What is the measure of each acute angle of the right triangle? Use TWO variables.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
One of the acute angles in a right triangle is 15 degrees less than twice the measure of the other acute angle. What is the measure of each acute angle of the right triangle? Use TWO variables.
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x+y = 90
x = 2y-15
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Substitute for "x" and solve for "y";
2y-15+y = 90
3x = 105
x = 35 degrees
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Solve for "y":
x + y = 90
35+y = 90
y = 55 degrees
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Cheers,
Stan H.
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