Question

if $m\angle nop = 24$ and $m\angle noq = 110$, what is $m\angle poq$?

Explanation:

Step1: Identify Angle Relationship

From the diagram, \( \angle NOQ = \angle NOP + \angle POQ \). So, \( m\angle POQ = m\angle NOQ - m\angle NOP \).

Step2: Substitute Values

Given \( m\angle NOP = 24^\circ \) and \( m\angle NOQ = 110^\circ \), substitute into the formula: \( m\angle POQ = 110 - 24 \).

Step3: Calculate Result

\( 110 - 24 = 86 \).

Answer:

\( 86^\circ \)