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

45

step-by-step explanation:

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)