what's the angle of exterior angle x if the inside angles are 37 and 42

1 answer

The sum of the measure of an exterior angle and its corresponding interior angle is always 180 degrees. Therefore, if one of the interior angles is 37 degrees and the other is 42 degrees, the sum of those interior angles is 37 + 42 = 79 degrees.

Let's assume the measure of the exterior angle is x degrees. We know that the sum of the exterior angle and the interior angle is 180 degrees. Therefore, we can set up the equation:

x + 79 = 180

By subtracting 79 from both sides, we get:

x = 180 - 79
x = 101

Therefore, the measure of the exterior angle x is 101 degrees.