Sum of interior angles of a polygon I need help with this exercise.
"Using the figure below, determine the measure of the interior angle at vertex A."

Choose one:
a. $60^\circ$
b. $150^\circ$
c. $300^\circ$
d. $150^\circ$
I would like to know if what I did is right.
Since polygon has a 7 sides the sum of the interior angles is $(7-2)180^\circ=900^\circ$.
Then,
$$2x+2x+6x+5x+5x+5x+5x=900$$
$$30x=900$$
$$x=30$$
Then,
Angle with vertex $A$ has a measure $5x=5(30)=150^\circ$.
Is this ok?
Appreciate the help in advance.

$\newcommand{\d}{^\circ}$Imagine driving a car counterclockwise around this circuit. At angle $A,$ you turn $180\d-5x$ to the right.
Add up all your right turns as you go around, counting a turn to the left as a negative number of degrees to the right. To complete one full circuit, you turn $360\d$ to the right. So
\begin{align}
360\d & = 180\d-5x \\
& {} + 180\d-5x \\
& {} + 180\d-5x \\
& {} + 180\d-2x \\
& {} + 180\d-6x \\
& {} + 180\d-2x \\
& {} + 180\d - 5x 
\end{align}
Solve that for $x.$
