Question

find the measure of \\( \angle orq \\).
\\( m \angle orq = \square ^ { \circ } \\)

Explanation:

Step1: Use the property of corresponding angles

Since \( MN\parallel OP\), then \( 9x - 4=3x + 40\) (corresponding angles are equal).

$$\begin{align*} 9x-3x&=40 + 4\\ 6x&=44\\ x&=7.333\cdots \end{align*}$$

Step2: Substitute \(x\) into the expression for \(\angle ORQ\)

Substitute \(x = 7.333\cdots\) into \(3x + 40\).
\(3\times7.333\cdots+ 40=22+40 = 62\)

Answer:

\(62\)