Question

What is the value of x?Write your answer as an integer or as a decimal rounded to the nearest tenth

Answer 1

The center angles of this figure must sum 360°. Since we have 5 equal divisions:

$a=\frac{360}{5}=72\~$

Now, the angles inside a triangle must always sum 180°. We have a triangle with an angle "a", and two equal angles "x/2".

$\begin{gathered} a+x=180 \\ 72+x=180 \\ x=180-72=108 \\ x=108 \end{gathered}$