Question

A regular hexagon is shown below. Find the value of X

Answer 1

Answer:

$x=9$

Step-by-step explanation:

The expression is for the interior angle of the hexagon; one interior angle is equal to $(11x+21)^o$.

Since an interior angle of a hexagon measures 120°, we have the equality

$(11x+21)=120$.

Now it is just a matter of solving for $x:$

$11x=120-21\\\\11x=99\\\\x=\frac{99}{11} \\\\\boxed{x=9}$