Question

solve for m∠pqs if m∠pqr = 104° and m∠sqr = 56°. answer m∠pqs =

Explanation:

Step1: Identify angle - relationship

We know that $\angle PQR=\angle PQS+\angle SQR$.

Step2: Rearrange the formula to solve for $\angle PQS$

$\angle PQS=\angle PQR - \angle SQR$.

Step3: Substitute the given values

Given $\angle PQR = 104^{\circ}$ and $\angle SQR=56^{\circ}$, then $\angle PQS=104^{\circ}- 56^{\circ}$.

Step4: Calculate the result

$\angle PQS = 48^{\circ}$.

Answer:

$48^{\circ}$