Question

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the diagram shows $\triangle qrs$ and $\overrightarrow{rt}$.
what is the measure of $\angle qst$?
$\square^\circ$

Explanation:

Step1: Find ∠QSR first

In $\triangle QRS$, sum of angles is $180^\circ$.
$\angle QSR = 180^\circ - 38^\circ - 51^\circ = 91^\circ$

Step2: Calculate ∠QST (supplementary angle)

$\angle QSR$ and $\angle QST$ are supplementary (form a straight line).
$\angle QST = 180^\circ - 91^\circ = 89^\circ$

Answer:

$89$