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Find the measure of x.

Line PU has points R and S between points P and U, lines QR and ST are parallel, line QR intersects line PU at point R, line ST intersects line PU at point S, the measure of angle PRQ is 120 degrees, and the measure of angle UST is 15 ( x plus 2 ) degrees.

a. x = 2
b. x = 6
c. x = 8
d. x = 10

Find The Measure Of X Line PU Has Points R And S Between Points P And U Lines QR And ST Are Parallel Line QR Intersects Line PU At Point R Line ST Intersects Li class=

Answer :

Answer:  B.  x = 6

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Explanation:

Since the vertical lines are parallel, this means the alternate exterior angles shown are congruent.

Set them equal to each other and solve for x.

15(x+2) = 120

15x+30 = 120

15x = 120-30

15x = 90

x = 90/15

x = 6

Or we could have the steps like this

15(x+2) = 120

x+2 = 120/15

x+2 = 8

x = 8-2

x = 6

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