Chapter 4.4, Problem 1WE

To determine

Value of x in the given figure.

Answer to Problem 1WE

Value of $x={80}^o$

Explanation of Solution

Given:

The given figure is,

  

The figure is

  

As given, side $AB=AC$ and $\angle BAC=x$

So, the given triangle is isosceles triangle.

So, $\angle ABC=\angle ACB={50}^o$

Therefore,

  $\begin{array}{l}\angle ABC+ACB+\angle BAC={180}^o\\ {50}^o+{50}^o+x={180}^o\\ \Rightarrow x={80}^o\end{array}$

Therefore, $x={80}^o$