SOLUTION: the measure of one acute angle in a right triangle is 1 1/4 times the measure of the other acute angle. What is the measure of the larger acute angle?

Question 520609: the measure of one acute angle in a right triangle is 1 1/4 times the measure of the other acute angle. What is the measure of the larger acute angle?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the measure of one acute angle in a right triangle is 1 1/4 times the measure of the other acute angle. What is the measure of the larger acute angle?
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Equations:
x + y = 90
x = (1 1/4)y
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Substitute and solve for "y":
(5/4)y + y = 90
(9/4)y = 90
(1/4)y = 10
y = 40 degrees
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Solve for "x":
x + y = 90
x + 40 = 90
x = 50 degrees (larger acute angle)
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Cueers,
Stan H.
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