Rstu is a parallelogram.

what is the measure of ∠ust?

Step-by-step explanation:

Givens:

We know that by definition that parallelogram's angles all sum 360°. If we have a diagonal inside, then, we have two triangles, where their angles sum 180°. Also, in this scenario, we have two parallels being crossed by a transversal, which can allow us to deduct several congruences.

So, from the transversal and parallels, we have:

; because they are alternate interior angles.

Now, we consider , where we already know two angles and . So, internal angles of a triangle sum 180°, using that we calculate the missing angle ∠UST:

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irrational, cannot