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the two acute angles have a sum of 90. If the ratio is 4:1, then there are five units to split. Divide the 90 degrees by 5.

90/5 = 18


18 * 4 = 72


So the larger angle has a measure of 72 degrees and the smaller angle is 18 degrees.

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Q: In the right triangle the ratio of the measures of the two acute angles is 4 to 1 what is the measures in degrees of the larger acute angle?
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