One interior angle of a triangle has a measure that is equal to the sum of the measures of the other two angles of the triangle. What is the measure of the smallest exterior angle of the triangle in degrees?

Answer 1

If the interior angle is x, then the sum of the other two interior angles is also x. Since they add up to 180, x=90.

Also, since the sum of an interior angle and its adjacent exterior angle is a straight line, they sum to 180.

So, the largest interior angle has the smallest exterior angle. In this case, that's 90.