Question

find the measure of the exterior angle. the measure of the exterior angle is □°

Explanation:

Step1: Apply the exterior - angle theorem

The exterior - angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles.
Let the exterior angle be \(x\). The two non - adjacent interior angles are \(64^{\circ}\) and \(76^{\circ}\).
So, \(x = 64+76\)

Step2: Calculate the sum

\(x=64 + 76=140\)

Answer:

\(140\)