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._______________
a. Combine like terms.
b. Subtract 5x from both sides.
c. Divide both sides by 12 to solve for x.