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+(x)/(2)+(x)/(2)=180`

By combining similar terms, we get

`\begin{gathered} (4)/(2)x=180 \\ 2x=180 \end{gathered}`

Then, x is given as

`\begin{gathered} x=(180)/(2) \\ x=90 \end{gathered}`

Therefore, the answer is x=90 degrees