Question

what is ( mangle rqs? )( mangle rqs=square^{circ} )

Explanation:

Step1: Use the Angle Bisector Theorem

Since \( SQ \) is the angle bisector (the distances from \( S \) to \( QP \) and \( QR \) are equal), \( 6v - 1=8v - 5 \).

Step2: Solve for \( v \)

$$
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Step3: Find \( m\angle RQS \)

Substitute \( v = 2 \) into \( 8v-5 \).

$$ 8\times2-5=16 - 5=11 $$

Answer:

\(11\)