Chapter 11.1, Problem 12PPS

To determine

To calculate: The value of x and classifying the pair of angles.

Answer to Problem 12PPS

The pair of angles are complementary and the value of $x={22.6}^0$ .

Explanation of Solution

Given information: Two angles given here are $x^0$ and ${67.4}^0$ .

Calculation:

The angles given form a right angle. So, sum of the angles is ${90}^0$ .

$\therefore$ The pair of angles are complementary.

We can write,

  $\begin{array}{l}x+67.4=90\\ \Rightarrow x=90-67.4\\ \Rightarrow x=22.6\end{array}$

$\therefore$ The value of $x={22.6}^0$ .