Chapter 11.1, Problem 10PPS

To determine

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

Answer to Problem 10PPS

The pair of angles are vertical angles and the value of $x={152}^0$ .

Explanation of Solution

Given information: Two angles given here are $x^0$ and ${152}^0$ formed by intersection of two lines.

Calculation:

The angles given here are opposite pair of angles made by two intersecting lines.

So they are vertical angles.

The angles given are $x^0$ and ${152}^0$ .

We know that, vertical angles are equal.

We can write,

  $x=152$

  $\therefore$ The value of $x={152}^0$ .