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._______________
Statement Reason
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1. measure angle RST = 5x and measure angle UVW = 7x given
2. angle RST and angle UVW are supplementary given
3. The measure of angle RST plus the measure of angle UVW equals 180 definition of supplementary angles
4. 5x + 7x = 180 a. addition property of equality
5. 12x = 180 b. combine like terms
6. x = 15 c. division property of equality