Question

if ( mangle nop = 37 ) and ( mangle noq = 123 ), what is ( mangle poq ) ?

Explanation:

Step1: Identify angle relationship

Assume point \( P \) lies inside \( \angle NOQ \), so \( m\angle NOQ = m\angle NOP + m\angle POQ \).

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

Rearrange the formula: \( m\angle POQ = m\angle NOQ - m\angle NOP \).
Substitute values: \( m\angle POQ = 123^\circ - 37^\circ \).
Calculate: \( 123 - 37 = 86 \).

Answer:

\( 86^\circ \)