Question

1. find $mangle yqr$.

$q$
$(5x + 6)^{circ}$
$(16x - 27)^{circ}$

Explanation:

Step1: Use the Angle - Bisector Theorem

Since \(QY\) is the angle - bisector of \(\angle SQR\), then \(5x + 6=16x-27\).

Step2: Solve the equation for \(x\)

$$
LATEXBLOCK0
$$

Step3: Find \(m\angle YQR\)

Substitute \(x = 3\) into \(5x+6\). Then \(m\angle YQR=5\times3 + 6=15 + 6=21^{\circ}\)

Answer:

\(21^{\circ}\)