Given: m angle RST=5x degrees and m angle UVW=7x degrees
angle RST and angle UVW are supplementary
Prove: x=15
Statements:
m angle RST=5x degrees and m angle UVW=7x degrees angle RST and angle UVW are supplementary
m angle RST+m angle UVW =180
5x+7x=180
12x-180
x=15
Reasons:
given
definition of supplementary angles
a._________
b._________
c.__________
a. Angle RST and angle UVW are supplementary
b. The measures of angle RST and angle UVW add up to 180 degrees
c. Setting up an equation with the measures of angle RST and angle UVW, 5x + 7x = 180
d. Combining like terms, 12x = 180
e. Solving for x, x = 15