what is the measure of angle a?

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°.

Step2: Set up the equation

Let the three angles of the triangle be (A), 50°, and 52°. So, (A + 50^{\circ}+52^{\circ}=180^{\circ}).

Step3: Solve for (A)

(A=180^{\circ}-(50^{\circ} + 52^{\circ})). First, calculate (50^{\circ}+52^{\circ}=102^{\circ}). Then (A = 180^{\circ}-102^{\circ}=78^{\circ}).

Answer:

(78^{\circ})