Question

look at this diagram: if $overleftrightarrow{ln}$ and $overleftrightarrow{oq}$ are parallel lines and $mangle lmk = 43^circ$, what is $mangle lmp$?

Explanation:

Step1: Identify angle relationship

∠LMK and ∠LMP are supplementary angles (they form a linear pair), so their measures add up to \( 180^\circ \).

Step2: Calculate \( m\angle LMP \)

Given \( m\angle LMK = 43^\circ \), we use the formula \( m\angle LMP = 180^\circ - m\angle LMK \).
Substitute the value: \( m\angle LMP = 180^\circ - 43^\circ = 137^\circ \).

Answer:

\( 137 \)