Question

question
in parallelogram mnpq if m∠npq = 55° find m∠pqm.
answer attempt 1 out of 3
x =

Explanation:

Step1: Use the property of parallelogram

In a parallelogram, adjacent angles are supplementary. That is, \(m\angle NPQ + m\angle PQM=180^{\circ}\)

Step2: Solve for \(m\angle PQM\)

Given \(m\angle NPQ = 55^{\circ}\), substitute into the equation:
\(m\angle PQM=180^{\circ}-m\angle NPQ\)
\(m\angle PQM = 180^{\circ}- 55^{\circ}\)
\(m\angle PQM=125^{\circ}\)

Answer:

\(125\)