SOLUTION: I need help badly on this please. Quadrilateral RSTU, diagonals SU and RT intersect at point V. https://imgur.com/a/1Kh4JAK RSTU is a parallelogram. If m∠TSV = 31° and

Question 1172520: I need help badly on this please.
Quadrilateral RSTU, diagonals SU and RT intersect at point V.
https://imgur.com/a/1Kh4JAK
RSTU is a parallelogram. If m∠TSV = 31° and m∠SVT = 126°, explain how you can find the measure of ∠URV. Show all steps of work, and refer to any properties of triangles, parallelograms, or triangle congruency theorems as necessary to justify your response.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
SU is the transversal between the two parallel lines ST and RU
so angle SUR is equal to angle TSV=31 degrees
angle RVU is 126 degrees also because it is a vertical angle with angle SVT
angle URV is the angle being looked for in the triangle URV, and we know the two others sum to 157 degrees.
Therefore, it is 23 degrees.
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