Question

RSTU is a parallelogram. If m∠SRV = 48° and m∠SVR = 54°, explain how you can find the measure of ∠TUV. 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

@dude

Answer 2

Hmm maybe I am missing something, is there a diagram that came along with this?

Answer 3

yea lemme add it

Answer 4

here

Answer 5

Do you know what vertical angles are?

Answer 6

yes

Answer 7

Yes so you would prove that \(\angle\)TVU \(\cong \)\(\angle\)SVR because they are vertical angles

Additionally point V is the intersecting point between \(\overline{RT}\) and \(\overline{SU}\) [Remember that for all parallelograms, the perpendicular lines always intersect at the bisector]



Based on the markings, the angle with 48º is connected to the line marked with 1 tick, therefore the opposite angle VTU is also 48

Answer 8

And I assume you know that all angles inside a triangle must equal to 180º, so add \(54+48 +x =180\) and solve for x to find \(\angle U\)

Answer 9

yes

Answer 10

`Based on the markings, the angle with 48º is connected to the line marked with 1 tick, therefore the opposite angle VTU is also 48`

I'm going to correct myself here, the proper way of proving this is through the alternate interior angles

Answer 11

ok

Answer 12

If you didn't know what any of these terms meant or what I meant by something, ask ahead

Answer 13

thank u i got it i know what u mean

Answer 14

thanks for the help

Answer 15

Of course (:

Answer 16

what grade u in btw

Answer 17

I'm in college

Answer 18

wow cool and what ur name

Answer 19

I go by Jay

Lets talk in the main chat if you don't need any more help

Answer 20

ok