Question

RSTU is a parallelogram. If m∠TUV = 78° and m∠TVU = 54°, explain how you can find the measure of ∠SRV. Show all steps of your work, and refer to any properties of triangles, parallelograms, or triangle congruency theorems as necessary to justify your response.

Answer 1

help please

Answer 2

what's V?

Answer 3

thats the image

Answer 4

Since you know angle TUV and angle TVU, can you find angle UTV if angles in a triangle add up to 180 degrees?

Answer 5

yeah 54+48+x=180 so x=78

Answer 6

You have the right angle measurements but in the wrong order I think
angle TUV is 78 degrees, angle TVU is 54 degrees, so angle TUV is 180-78-54 = 48 degrees

Answer 7

ohhhhhh
so thats the answer

Answer 8

sorry I meant UTV is 48 degrees

Answer 9

And then because of the alternate interior angles theorem, angle UTV is equal to angle SRV, so yes that is the answer

Answer 10

WOW i really needed this thank you

Answer 11

you're welcome!