Chapter 4.5, Problem 3ST2

To determine

To find the value of $x$ from the given figure

  

Answer to Problem 3ST2

The value of $x={30}^0$ .

Explanation of Solution

Given information :

Givenfigure

  

Since interior angle of a equilateral triangle is ${60}^{\circ }$ .

Thus, $x+60+90=180$ .

  $\begin{array}{l}\Rightarrow x+150=180\\ \Rightarrow x=180-150\\ \therefore x=30\end{array}$

Hence, the value of $x={30}^0$ .