Point P is in the interior of ∠NOQ. If m∠NOP = 37° and m∠NOQ = 123°, what is m∠POQ?

Answer 1

The embedded angle is "inside" the whole angle (draw a picture for yourself, it will help a LOT). So, if you know the whole angle, and one side of the inside, the the other side is just the whole - one side to get the other side.

Angle NOQ - Angle NOP = Angle POQ

123°-37°=86°