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
wouldn't the angles be 92° and 88°?
The answer is 1 bc the solution is (1,-3)
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<span>x-y=1 (1)
x+y=3 (2)
Add (1) and (2) to eliminate y:
x- y + x - y =1 + 3
2x = 4
x = 4/2
</span><span>x = 2
Substitute x = 2 into (1) to find y:
2 + y = 3
y = 3 - 2
y = 1
The solution is (2, 1) </span>