Question

what is the measure of angle a?

Explanation:

Step1: Recall the exterior - angle property

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

Step2: Identify the non - adjacent interior angles

The two non - adjacent interior angles to angle $A$ are $56^{\circ}$ and $44^{\circ}$.

Step3: Calculate the measure of angle $A$

$A=56^{\circ}+44^{\circ}$
$A = 100^{\circ}$

Answer:

$100^{\circ}$