Question

What is the sum of the measures of the exterior angles of this triangle?

A triangle has angles A, C, 51 degrees. Angle A has exterior angle B and angle C has an exterior angle with measure of 112 degrees.



°

Answer 1

The sum of the measures of the exterior angles of any polygon, including a triangle, is always \(360\) degrees. Therefore, regardless of the specific measures of the angles involved, the sum of the exterior angles of the triangle is:

\[
\text{Sum of exterior angles} = 360 \text{ degrees}
\]

So, the answer is:

\[
\boxed{360}
\]