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

Use the figure to find the value of x. Justify your answer. Please help.-example-1

1 Answer

5 votes

Answer:

x=57

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


User Adrian Roworth
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