Chapter 4.2, Problem 48HP

To determine

To calculate:

Measure of second acute angle using calculation.

Answer to Problem 48HP

Measure of second acute angle using calculation is $53°$ .

Explanation of Solution

Given information:

Acute angle with one of acute angles.

Calculation:

Right triangle with one acute angle of measure is as below,

  

Now denote by $x$ the measure of the second acute angle.

The acute angle of right triangle are complementary.

Set $x$ equal to $90-37$

  $\begin{array}{l}x=90-37\\ x=53\end{array}$

Hence, the measure of second angle is $53°$ .