What is the measure of the exterior angle x ? (1 point)

Question

A triangle, the top angle is 37 degrees, and the bottom right is 42

Answer 1

In any triangle, the sum of the three interior angles is always 180 degrees. You have given the measures of two of the interior angles, which are 37 degrees and 42 degrees. Let's first find the measure of the third interior angle.

Add the two provided angles together:

37 degrees + 42 degrees = 79 degrees

Now subtract this sum from the total sum of interior angles in a triangle:

180 degrees - 79 degrees = 101 degrees

So the measure of the third interior angle is 101 degrees.

Now, to find the measure of the exterior angle x adjacent to the 42-degree interior angle, we can use the fact that an exterior angle of a triangle is equal to the sum of the two opposite interior angles (the ones that are not adjacent to the exterior angle itself).

Therefore, the exterior angle x is equal to the sum of the 37-degree angle and the angle we just found:

x = 37 degrees + 101 degrees = 138 degrees

So the measure of the exterior angle x is 138 degrees.