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# A right triangle has acute angles whose measures are in the ratio 1:3

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A right triangle has acute angles whose measures are in the ratio 1:3

Find the measure of these acute angles.

Guest May 9, 2015

#1
+81004
+5

Well..... they sum to 90 degrees

And...if they're in the ratio of 3 : 1, there must be 4 parts to this 90 degrees......so....each part is 90/4 = 22.5 degrees

So  3 x 22.5 = 67.5 degrees   and that's the larger angle

And the other is just 1 x 22.5  =  22.5  degrees

CPhill  May 9, 2015
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#1
+81004
+5

Well..... they sum to 90 degrees

And...if they're in the ratio of 3 : 1, there must be 4 parts to this 90 degrees......so....each part is 90/4 = 22.5 degrees

So  3 x 22.5 = 67.5 degrees   and that's the larger angle

And the other is just 1 x 22.5  =  22.5  degrees

CPhill  May 9, 2015

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