Question

what is the value of k?

Explanation:

Step1: Identify angle - relation

The larger angle of $75.2^{\circ}$ is composed of the angle $k$ and the angle of $29.1^{\circ}$.

Step2: Set up equation

We know that $75.2^{\circ}=k + 29.1^{\circ}$.

Step3: Solve for k

To find $k$, we use the formula $k=75.2^{\circ}-29.1^{\circ}$.
$k = 46.1^{\circ}$

Answer:

$46.1$