Question

what is the value of k? 29.2° 74.2°

Explanation:

Step1: Identify angle - relationship

The larger angle of \(74.2^{\circ}\) is composed of the smaller angle of \(29.2^{\circ}\) and angle \(k\).

Step2: Set up the equation

We know that \(74.2^{\circ}=29.2^{\circ}+k\).

Step3: Solve for \(k\)

Subtract \(29.2^{\circ}\) from both sides of the equation: \(k = 74.2^{\circ}-29.2^{\circ}\).
\(k=45^{\circ}\)

Answer:

\(45\)