Complete the two-column proof.

Question

Given: m angle RST=5x degrees and m angle UVW=7x degrees angle RST and angle UVW are supplementary
Prove: x =15
statement: m angle RST=5x degrees and m angle UVW=7x degrees angle RST and angle UVW are supplementary reason: given
Statement: mangle RST +m angle UVW=180 reason: definition of supplementary angles
Statement:5x + 7x = 180 reason: a._______________
statement:12x = 180 reason: b._______________
Statement: x=15 reason: c._______________

Answer 1

Reasons:
a. Substitution property (substituting the measures of angle RST and angle UVW from the previous statements)
b. Simplification (combining like terms)
c. Division property of equality (dividing both sides of the equation by 12)