Question

For the following figure, find the value of $x$.

Short answer

The value of$x=6$.

Step-by-step solution

Step 1. Check the figure.

Consider the figure.

Step 2. Apply the concept of isosceles triangles.

An isosceles triangle is a triangle that has two sides of equal length and two equal angles.

Step 3. Find the value.

Since the triangle is isosceles triangles thus$AC=BC$ and $\angle ABC=\angle BAC$.

Therefore, find the value of$x$ as follows:

$\begin{array}{c}AC=BC\\ 4x-6=18\\ 4x=18+6\\ x=6\end{array}$

Therefore, the value of $x=6$.