Problema Solution
The measure of one acute angle of a right triangle is 30° more than twice the measure of the other acute angles. Find the measures of the angles
Answer provided by our tutors
let x and y represent the measures of the acute angles in the right triangle
the measure of one acute angle of a right triangle is 30° more than twice the measure of the other acute angles:
y = 30 + 2x
since the acute angles in a right triangle are complementary we have:
x + y = 90
plug y = 30 + 2x into the last equation
x + 30 + 2x = 90
by solving we find
x = 20 degrees
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y = 30 + 2*20
y = 70 degrees
the measures of the acute angles are 20 and 70 degrees.