Question

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:

\(78^{\circ}\)