Exercise 25 Page 237

First, we will illustrate the given information in a diagram. Let x be the measure of the smaller acute angle. Therefore, the measure of the larger acute angle is 3 times the sum of x and 8. This means that its measure is 3(x+8).

According to the Corollary to the Triangle Sum Theorem, the acute angles of a right triangle are complementary. 3(x+8)+x= 90 Let's solve this equation.

The measure of the smaller acute angle is x=16.5. Now, we can find the measure of the greater acute angle. 3(x+8) ⇒ 3(16.5+8) = 73.5^(∘)