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:

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length