We want to find the value of and the measures of the interior angles for the given triangle.
The tells us that the measures of the of a triangle must add to
Applying the theorem, we can create an equation by adding the given expressions and equating the sum to
We notice that one of the angles is a , and therefore its measure is
Let's solve the equation for
Now that we know the value of
we can substitute
into the given expressions to find the angle measures of the triangle.