Chapter 6, Problem 1CUR

To determine

To find: the measure of the angle.

Answer to Problem 1CUR

The angle is $={57}^0.$

Explanation of Solution

Given information:

The given data is as follows:

The angle and its complement measures as $x+38$ and $2x-5.$

Calculation:

The sum f complementary angles $={90}^0$

  $\begin{array}{l}x+38+2x-5={90}^0\\ 3x+35={90}^0\\ 3x=90-33\\ 3x=57\\ x=19\end{array}$

Then, the angle is

  $\begin{array}{l}x+38\\ =19+38\\ =57\end{array}$

Hence, the angle is $={57}^0.$