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 x?
The sum of the interior angles of a triangle is always 180 degrees. Therefore, the measure of the third angle in the triangle can be calculated as follows:
Third angle = 180 degrees - (37 degrees + 42 degrees)
= 180 degrees - 79 degrees
= 101 degrees
Since an exterior angle of a triangle is equal to the sum of its two non-adjacent interior angles, we can calculate the measure of x as follows:
x = 37 degrees + 101 degrees
= 138 degrees
Therefore, the measure of the exterior angle x is 138 degrees.