Chapter 8.6, Problem 33E

To determine

Solution of an algebraic equation based on the given description.

Answer to Problem 33E

The measure of the angle is $64°$ .

The measure of its complement is $90°-64°=26°$ .

Explanation of Solution

Given:

The measure of an angle is 12 degrees more than twice the measure of its complement.

Calculation:

Let the measure of the angle be x degrees.

The solution to given problem will be:

  $\begin{array}{l}x°=2\left(90°-x°\right)+12°\\ x=2\left(90-x\right)+12\\ x=180-2x+12\\ x+2x=192\\ 3x=192\\ x=\frac{192}{3}\\ x=64°\end{array}$

The measure of the angle is $64°$ .

The measure of its complement is $90°-64°=26°$ .