Question

An obtuse triangle has an interior angle of 32 and 37 and an exterior angle of x.
What is the measure of the exterior angle, x?

Answer 1

The two given interior angles sum to 32 + 37 = 69°. The third interior angle is 180 - 69 = 111° (making the triangle obtuse). The exterior angle at that vertex is 180 - 111 = 69°, or simply equal to the sum of the two remote interior angles, 32 + 37 = 69°.
So x = 69°.