Complete the two-column proof.

Given: measure angle upper R upper S upper T equals 5 x degrees and measure angle upper U upper V upper W equals 7 x degrees
angle upper R upper S upper T and angle upper U upper V upper Ware supplementary

Prove: x =15

Statement Reason
measure angle upper R upper S upper T equals 5 x degrees and measure angle upper U upper V upper W equals 7 x degrees
angle upper R upper S upper Tand angle upper U upper V upper Ware supplementary given
The measure of angle RST plus the measure of angle UVW equals 180. definition of supplementary angles
5x + 7x = 180 a._______________
12x = 180 b._______________
x=15 c._______________

1 answer

a. Combine like terms.
b. Divide both sides by 12.
c. Solve for x.
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