Question

point p is in the interior of ∠noq. if m∠nop = 37° and m∠noq = 123°, what is m∠poq? m∠poq =

Explanation:

Step1: Use the angle - addition postulate

If a point \(P\) is in the interior of \(\angle NOQ\), then \(m\angle NOQ=m\angle NOP + m\angle POQ\).

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

We can rewrite the formula from Step 1 as \(m\angle POQ=m\angle NOQ - m\angle NOP\).
Substitute \(m\angle NOP = 37^{\circ}\) and \(m\angle NOQ = 123^{\circ}\) into the formula:
\(m\angle POQ=123^{\circ}-37^{\circ}\)
\(m\angle POQ = 86^{\circ}\)

Answer:

\(86\)