Question

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

Explanation:

Step1: Use the property of consecutive interior angles

Since \(NO\parallel PQ\), the consecutive interior angles \((4x + 30)^{\circ}\) and \((4x+110)^{\circ}\) are supplementary. So, \((4x + 30)+(4x + 110)=180\).

$$
LATEXBLOCK0
$$

Step2: Find the measure of \(\angle ORS\)

Substitute \(x = 5\) into \(4x+30\).

$$4x+30=4\times5 + 30=20+30=50$$

Answer:

\(50\)