Willbr /> 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:

step-by-step explanation:

given rstu is a parallelogram

from the properties of the parallelogram

ru // st and ru = st, and

rs // ut and rs = ut

from parallelism

rs // ut

m∠ srt = m∠ utr   as they are alternate angles

v is on line rt

m∠ srv = m∠ utv

consider triangle utv

sum of interior angles of a triangle = 180°

m∠ utv + m∠ tuv + m∠ tvu = 180°

given m∠ tuv = 78° and m∠ tvu = 54°,

substituting

m∠ utv + 78° + 54° = 180°

m∠ utv = 180° - 132°

= 48°

previously m∠ srv = m∠ utv

m∠ srv = 48°

edit: add a picture showing point v

answer is b

step-by-step explanation: