Question

what is the value of k?

Explanation:

Step1: Identify angle - relationship

The large angle of 80° is composed of angle \(k\) and 32°.

Step2: Set up equation

We know that \(k + 32^{\circ}=80^{\circ}\).

Step3: Solve for \(k\)

Subtract 32° from both sides: \(k=80^{\circ}- 32^{\circ}\).

Answer:

\(48^{\circ}\)