Question

the measure of angle bqs is 80°. what is the measure of angle nqs?

Explanation:

Step1: Identify angle - relationship

We know that $\angle BQS=\angle BQN+\angle NQS$.

Step2: Solve for $\angle NQS$

$\angle NQS=\angle BQS - \angle BQN$. Given $\angle BQS = 80^{\circ}$ and $\angle BQN=48^{\circ}$, then $\angle NQS=80^{\circ}- 48^{\circ}$.

Answer:

$32^{\circ}$