Exercise 6 Page 504

Let's find the value of each interior angle.

We will start by finding the value of x. Recall the Polygon Angle-Sum Theorem.

In this case, expressions are given for the measures of the interior angles. We can write an equation where the sum of these expressions is equal to (n-2)180. x + (4x - 26) + x + (2x + 18) = (n - 2) * 180 Our polygon has 4 sides, so we substitute 4 for n and solve our equation for x.

Now that we know the value of x, we can find the measures of the interior angles.

Let's add these measures to our diagram.