QuestionCONSTRUCTION Lupita is building a gate following this diagram.
If $m \angle L M N=43^{\circ}$ and $\angle L M N \cong \angle O M P$, what is $m \angle N M P$ ? A) $47^{\circ}$ B) $69^{\circ}$ C) $94^{\circ}$ D) $137^{\circ}$

Studdy Solution
Solve for $m \angle NMP$:
Since $m \angle NMP + m \angle PMN = 180^\circ$ and $m \angle NMP + m \angle PMN = 274^\circ$, the assumption of supplementary angles is incorrect. Therefore, $m \angle NMP$ must be the remaining angle from the original equation:
$$m \angle NMP = 274^\circ - m \angle PMN$$
Given the options, the correct value for $m \angle NMP$ is:
$$\boxed{137^\circ}$$