Chapter 11.1, Problem 1CYU

To determine

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

Answer to Problem 1CYU

The pair of angles are supplementary and the value of $x={34}^0$ .

Explanation of Solution

Given information: Two angles given in a straight line $x^0$ and ${146}^0$ .

Calculation:

The angles given are in a straight line. So, sum of the angles is ${180}^0$ .

  $\therefore$ The pair of angles are supplementary.

We can write,

  $\begin{array}{l}x+146=180\\ \Rightarrow x=180-146\\ \Rightarrow x=34\end{array}$

  $\therefore$ The value of $x={34}^0$