what is the value of k?

Explanation:

Step1: Identify angle - relationship

The large angle of 50° is composed of the angle (k) and the 26° angle.

Step2: Set up equation

We know that (k + 26^{\circ}=50^{\circ}).

Step3: Solve for (k)

Subtract 26° from both sides: (k=50^{\circ}- 26^{\circ}).

Answer:

(24^{\circ})