Question

Find the measure of angle x in the figure.

Answer 1

Work shown above! x = 117 degrees

Answer 2

To find how many degrees are in any shape, use the formula 180(n-2), where you have n sides on the shape.
In this shape, there are 7 sides. Therefore, we would do 180(7-2) or 180*5, which is 900 degrees.

We can then add all of the angle measures, then subtract the sum from 900.
Sum of the angle measures: 783 degrees
900-783=117 degrees

:)