The measure of angle URV is 23°.
Given that, RSTU is a parallelogram. If m∠TSV = 31° and m∠SVT = 126°.
We need to find the measure of ∠URV.
What is a parallelogram?
In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
From the given figure, in the triangle TSV
∠TSV+∠SVT+∠STV=180° (∵ angle sum property)
⇒31°+126°+∠STV=180°
⇒∠STV=180°-157°
⇒∠STV=23°
In the parallelogram RSTU, ∠STV=∠URV (∵ alternate angles in parallelogram)
So, ∠URV=23°
Therefore, the measure of angle URV is 23°.
To learn more about a parallelogram visit:
https://brainly.com/question/1563728.
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