Question

what is the measure of angle a?

Explanation:

Step1: Recall exterior - angle property

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.

Step2: Apply the property

In the given triangle, angle $A$ is an exterior angle and the two non - adjacent interior angles are $32^{\circ}$ and $34^{\circ}$. So, $A=32^{\circ}+34^{\circ}$.

Answer:

$66^{\circ}$