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 your work, and refer to any properties of triangles, parallelograms, or triangle congruency theorems as necessary to justify your response.(02.06 MC) Quadrilateral RSTU, diagonals SU and RT intersect at point V.

The measure of a ∠URV is 23°

Step-by-step explanation:

The information given from the question are;

The given quadrilateral RSTU = A parallelogram

m∠TSV = 31°

m∠SVT = 126°

Therefore, in triangle ΔSVT, we have;

Sum of interior angles = m∠TSV + m∠SVT + ∠STV = 180° (Sum of angles in of a triangle)

Which gives;

31° + 126° + ∠STV = 180°

∠STV = 180°- (31° + 126°) = 23°

∠STV ≅ ∠URV (Alternate angles of a parallelogram)

Therefore;

∠URV = ∠STV  = 23°

The measure of a ∠URV = 23°

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step-by-step explanation: