Question

in the diagram, what is $m\angle vsr$?
$m\angle vsr = \square ^\circ$
the diagram shows two intersecting lines ru and vt at point s, with $\angle usv = 100^\circ$

Explanation:

Step1: Identify supplementary angles

$\angle VSU$ and $\angle VSR$ are supplementary, so $m\angle VSU + m\angle VSR = 180^\circ$

Step2: Substitute known angle value

Substitute $m\angle VSU = 100^\circ$:
$100^\circ + m\angle VSR = 180^\circ$

Step3: Solve for unknown angle

$m\angle VSR = 180^\circ - 100^\circ$

Answer:

$80$