Question

the measure of ∠bqs is 78°. what is m∠nqs? enter your answer in the box. m∠nqs = □°

Explanation:

Step1: Identify angle - addition relationship

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

Step2: Rearrange to solve for $\angle NQS$

$\angle NQS=\angle BQS - \angle BQN$.

Step3: Substitute given values

Given $\angle BQS = 78^{\circ}$ and $\angle BQN=48^{\circ}$, then $\angle NQS=78^{\circ}- 48^{\circ}$.

Step4: Calculate the result

$78 - 48=30$.

Answer:

$30$