Question

the diagram shows $\triangle jkl$ and $\overrightarrow{km}$. what is the measure of $\angle jlm$?

Explanation:

Step1: Find ∠JKL's adjacent angle

First, calculate ∠JLK using triangle angle sum.
The sum of angles in a triangle is $180^\circ$.
$\angle JLK = 180^\circ - 55^\circ - 68^\circ = 57^\circ$

Step2: Calculate ∠JLM as supplementary angle

∠JLK and ∠JLM are supplementary (form a straight line).
$\angle JLM = 180^\circ - 57^\circ = 123^\circ$

Answer:

$123$