The measure of angle m∠ VSR is 80°.
What is adjacent angle?
Adjacent angles are two angles that have a common vertex and a common side but do not overlap.
What is supplementary angle?
Supplementary angles are those angles that sum up to 180 degrees. If two supplementary angles are adjacent to each other then they are called linear pair.
For the given situation,
The diagram shows the two line segments intersect at S.
m∠ VSU and m∠ VSR are adjacent to each other and both forms the supplementary angle.
The measure of angle m∠ VSU = 100°.
[tex]m\angle VSU + m\angle VSR = 180[/tex]
⇒ [tex]m\angle VSR = 180-m\angle VSU[/tex]
⇒ [tex]m\angle VSR = 180-100[/tex]
⇒ [tex]m\angle VSR = 80[/tex]
Hence we can conclude that the measure of angle m∠ VSR is 80°.
Learn more about adjacent and supplementary angles here
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