Question

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.__________

Answer 1

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