Use the figure to find the value of x. Justify your answer. Please help.

Answer:
x=57
Step-by-step explanation:
ru and ut are equal there for <r and < t are equal
<r = <t
33 = <t
<r + <u + <t = 180 triangle
33+ <u + 33 = 180
add like terms
66 + <u = 180
subtract 66 from each side
<u = 114
<u = 2x the angles are equal
114 = 2x
divide by 2
57 =x