Question

For the following figure, find the value of$\mathit{x}$.

Short answer

The value of $\mathit{x}\mathbf{=}{\mathbf{70}}^{\mathbf{\circ }}$.

Step-by-step solution

Step 1- Check the figure.

Consider the figure.

Step 2- Apply the concept of triangle.

Properties of triangle states that opposite to congruent sides are congruent angles and sum of the three angles is equal to 180 degrees.

Step 3- Step description.

From the figure, $x^{\circ },x^{\circ },{40}^{\circ }$be the three angles of the triangle.

Since the sum of angles is equal to 180 degrees then find the value as follows:

$\begin{array}{l}x+x+40=180\\ 2x+40=180\\ 2x=140\\ x=70\end{array}$

Therefore, the value is $x={70}^{\circ }$.