Question

PLS, I'm begging for help, il give the brainiest to who gives me the right answer! THIS IS 30 POINTS
Question: pentagon STUVW is similar to S' T' U' V' W'. angle U=56 degrees, angle U' = 3x-16, and Angle T'=x+46. ST=57, UV=63, S' T'=19 and U' V' =y+4
a. Find x
b. find angle T'
c. Find y
you have to do, a, b, and c

Answer 1

Answer:

Similarity doesn't changes angle measures

• ∠U = 56°, ∠U' = 3x - 16
• ∠U = ∠U'

a) 3x - 16 = 56 ⇒ 3x = 72 ⇒ x = 24°

b) ∠T = x + 46 = 24 + 46 = 70°

c) Scale factor:

• k = S'T'/ST = 19/57 = 1/3

Find y using known sides and scale factor:

• U'V'/UV = 1/3
• (y + 4)/63 = 1/3
• y + 4 = 21
• y = 21 - 4
• y = 17