SOLUTION: In a right triangle, one of the acute angles is twice as large as the other acute angle. Find the meeasure of the two acute angles.
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Question 459763: In a right triangle, one of the acute angles is twice as large as the other acute angle. Find the meeasure of the two acute angles.
Answer by math-vortex(648) (Show Source): You can put this solution on YOUR website!
Important math fact: the sum of the three interior angles in any triangle is 180 degrees.
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Since this is a right triangle one of the angle measures is 90 degrees, so the measures of the two acute angles add to 180-90=90 degrees.
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Now, some algebra!
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Since one of the angles is twice the measure of the other, we can call one measure x, and the other, 2x.
x + 2x = 90
3x = 90
x = 30
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So, the two acute angle measures are 30 degrees and 60 degrees.
Hope this helps!
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