Answer
$x = 103$
Work Step by Step
To find the missing angle measures, we refer to the polygon angle-sum theorem, which states that the measure of all the interior angles of a $n-gon$ is $(n - 2)180$.
Let's set up that equation using the interior angles we are given for this polygon:
$100 + 117 + 105 + 115 + x = (5 - 2)180$
Evaluate what is in parentheses first, according to order of operations:
$100 + 117 + 105 + 115 + x = (3)180$
Multiply, according to order of operations:
$100 + 117 + 105 + 115 + x = 540$
Add the numbers on the left side of the equation:
$437 + x = 540$
Subtract $437$ from each side of the equation to solve for $x$:
$x = 103$
