Question

look at this diagram:
diagram of two parallel lines ln and oq cut by a transversal kr, with points l, m, n on ln and o, p, q on oq, and k, m, p, r on the transversal
if \\(\overleftrightarrow{ln}\\) and \\(\overleftrightarrow{oq}\\) are parallel lines and \\(m\angle lmp = 131^\circ\\), what is \\(m\angle lmk\\)?
box for answer\\(^\circ\\)
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Explanation:

Step1: Identify supplementary angles

$\angle LMP$ and $\angle LMK$ are supplementary (they form a linear pair on a straight line, so their sum is $180^\circ$).

Step2: Calculate $\angle LMK$

Subtract $m\angle LMP$ from $180^\circ$.
$m\angle LMK = 180^\circ - 131^\circ$

Answer:

$49^\circ$