In the triangle ABC, angle a=46 degrees and angle B=83 degrees. How large is the exterior angle at C?

I am assuming that A and B are interior angles. The interior angle at C must be 180 -83 - 46 = 51 degrees. The exterior angle at C is the supplement of 51. It is slso the sum of the other two interior angles!

To find the measure of the exterior angle at C in triangle ABC, we need to use the fact that the sum of the measures of an exterior angle and its corresponding interior angle is always 180 degrees.

In this case, angle C is the interior angle at C, so we need to find its measure first. We can do this by subtracting the measures of angles a and B from 180 degrees.

Measure of angle C = 180 degrees - measure of angle a - measure of angle B
Measure of angle C = 180 degrees - 46 degrees - 83 degrees
Measure of angle C = 51 degrees

Therefore, the measure of the exterior angle at C is 51 degrees.