Answer:
108°
Step-by-step explanation:
In order to find the measure of the exterior angle, we first need to solve for a. We know that the sum of a triangles' angles is always 180°.
Now we set up an equation:
180 = 44 + (a + 10) + (180 - 2a)
180 = 44 + a + 10 + 180 - 2a
180 = -a + 234
-54 = -a
54 = a
Because we know that a = 54, we can now solve for the exterior angle:
2(54) = 108
Therefore, the measure of the exterior angle is 108°.
