Question

in a certain right triangle one acute angle is 75 degrees less than twice the other acute angle. Find the difference between the two acute angles. the sum of the right triangle is 180

Answer 1

In a right triangle, the measure of one acute angle is 30 less than twice the measure of the other acute angle. Find the measure of each angle.
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The sum of the 2 acute angles is 90 degrees.
x + y = 90
x = 2y-30
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Substitute for "x" and solve for "y":
2y-30 +y = 90

3y = 120
y = 40

x = 90-y
x = 90-40
x = 50