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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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      Log On


   

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) About Me  (Show Source):
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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.