Chapter 11.2, Problem 18IP

To determine

To find: The value of $x$ .

Answer to Problem 18IP

  $x={93}^0$

Explanation of Solution

Given information:

Exterior angle $={118}^0$

Opposite interior angles are ${25}^0$ and $x^0$

Given

Exterior angle $={118}^0$

Opposite interior angles are ${25}^0$ and $x^0$

We know exterior angle is equal to sum of opposite interior angles

Using that

We get

  ${25}^0+x={118}^0$

On solving

  $\begin{array}{l}{25}^0+x={118}^0\\ \Rightarrow x={118}^0-{25}^0\\ \Rightarrow x={93}^0\end{array}$

Therefore,

  $x={93}^0$