Exercise 5 Page 504

We have been asked to find the measure of each of the interior angles of the given quadrilateral.

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 can 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 of the quadrilateral.

Let's add these measurements to our quadrilateral.