Question

In exercises 1 and 2, Find the value of x.

Answer 1

From the given picture, we can see that 2 sides are congruen, then the given triangle is an isosceles triangle. In this triangle the base angles are congruent, so we can draw the following picture:

Now, since interior angles of any triangle add up to 180 degrees, we have

$x+\frac{x}{2}+\frac{x}{2}=180$

By combining similar terms, we get

$\begin{gathered} \frac{4}{2}x=180 \\ 2x=180 \end{gathered}$

Then, x is given as

$\begin{gathered} x=\frac{180}{2} \\ x=90 \end{gathered}$

Therefore, the answer is x=90 degrees