An illustration shows a triangle with an interior angle at the top vertex of 37 degrees and an interior angle at the right vertex of 42 degrees. A line extending outward from the left vertex forms an exterior angle that is labeled x.
What is the measure of the exterior angle of x?
To find the measure of the exterior angle x, we need to remember that the exterior angle of a triangle is equal to the sum of the two remote interior angles.
In this case, the two remote interior angles are the angle at the top vertex (37 degrees) and the angle at the right vertex (42 degrees).
Therefore, the measure of the exterior angle x is:
x = 37 degrees + 42 degrees
x = 79 degrees
So, the measure of the exterior angle x is 79 degrees.