Question

what is the measure of the exterior angle x? 37 and 42 degrees

Answer 1

To calculate the measure of the exterior angle, we need to use the fact that the sum of the measures of an exterior angle and its corresponding interior angle always equals 180 degrees.

Let's denote the measure of the interior angle as y.

Since the exterior angle and its corresponding interior angle form a linear pair (a pair of adjacent angles that add up to 180 degrees), we have the equation:

x + y = 180

We're given that the measure of the interior angle is 37 degrees, so we can substitute y = 37 into the equation:

x + 37 = 180

Subtracting 37 from both sides of the equation, we have:

x = 180 - 37

Simplifying, we find:

x = 143

Therefore, the measure of the exterior angle x is 143 degrees.