Question

question
given parallelogram nopq below. if m∠prq = 74°, find m∠orp.

answer attempt 1 out of 3
m∠orp =
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Explanation:

Step1: Identify angle relationship

In a parallelogram, adjacent angles on a straight line are supplementary. Angles \( \angle PRQ \) and \( \angle ORP \) form a linear pair (they are adjacent and on a straight line), so their measures add up to \( 180^\circ \).

Step2: Calculate \( m\angle ORP \)

We know \( m\angle PRQ = 74^\circ \). Using the linear pair property: \( m\angle ORP = 180^\circ - m\angle PRQ \). Substitute the value: \( m\angle ORP = 180^\circ - 74^\circ = 106^\circ \).

Answer:

\( 106^\circ \)