Chapter 9, Problem 2CR

To determine

To find:The value of x

Answer to Problem 2CR

The value of $x={95}^0$

Explanation of Solution

Given information:The two angles are given to be

  ${25}^0$ and ${110}^0$

Formula used:The supplementary angles to supplementary angles are congruent

Calculation:We know that the angle vertically opposite to the ${25}^0$ angle will also be ${25}^0$ .

Now, we draw a line parallel to the given two lines, but from the vertex of the given ${110}^0$ angle.

Hence, the measure above the line will be ${25}^0$ , and the one below the line will be

  ${110}^0-{25}^0={85}^0$

Thus, the angle supplementary to x will also be ${85}^0$ . Thus, we can find x as

  $x={180}^0-{85}^0={95}^0$