Exercise 26 Page 237

First, we will illustrate the given information in a diagram. Let x be the measure of one acute angle. Therefore, the measure of the other acute angle is 2 times the difference of x and 12. This means that its measure is 2(x-12).

According to the Corollary to the Triangle Sum Theorem, the acute angles of a right triangle are complementary. 2(x-12)+x= 90 Let's solve this equation.

The measure of one of the acute angles is x=38. Now, we can find the measure of the other acute angle. 2(x-12)^(∘) ⇒ 2(38-12) = 52^(∘)