Question

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._______________

Answer 1

geez, @Kiddo - can't you just type what you want? As in

Given: m∠RST = 5x° and m∠UVW = 7x°
and ∠RST and ∠UVW are supplementary
Prove: x =15
...

Answer 2

a. Substitution
b. Simplification
c. Division