Question

look at this diagram: if pr and su are parallel lines and m∠pqo = 65°, what is m∠rqo?

Explanation:

Step1: Identify angle relationship

Since \( PR \) is a straight line, \( \angle PQO \) and \( \angle RQO \) are supplementary angles (they form a linear pair). This means their measures add up to \( 180^\circ \).

Step2: Calculate \( m\angle RQO \)

We know that \( m\angle PQO = 65^\circ \). Using the supplementary angle property: \( m\angle RQO = 180^\circ - m\angle PQO \).
Substitute \( m\angle PQO = 65^\circ \) into the formula: \( m\angle RQO = 180^\circ - 65^\circ = 115^\circ \).

Answer:

\( 115 \)