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{{ printedBook.courseTrack.name }} {{ printedBook.name }} Let $x$ be the measure of the smaller acute angle. Therefore, the measure of the larger acute angle is $4x.$ Let's illustrate this information with a diagram.

According to the interior angles theorem the sum of the interior angles of a triangle is $180_{∘}.$ Let's keep in mind that the right angle has the measure $90_{∘}.$ $4x+x+90=180$ Let's solve this equation. The measure of the smaller acute angle is $18_{∘}.$ Now, we can find the measure of the greater acute angle by substituting this value in $4x.$ The measure of the larger acute angle is $72_{∘}.$