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

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: Solve for $\angle PQS$

By re - arranging the formula, we get $\angle PQS=\angle PQR - \angle SQR$.
Substitute $\angle PQR = 104^{\circ}$ and $\angle SQR = 56^{\circ}$ into the formula: $\angle PQS=104^{\circ}-56^{\circ}$.
$104 - 56=48$.

Answer:

$48^{\circ}$