Complete the two-column proof
Given: m<RST = 5x degrees and m<UVW = 7x degrees
<RST and <UVW are supplementary
Statements | Reasons
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1. m<RST + m<UVW = 180 degrees | Supplementary angles have a sum of 180 degrees (Given)
2. 5x + 7x = 180 degrees | Substitute m<RST = 5x and m<UVW = 7x (Substitution)
3. 12x = 180 degrees | Combine like terms (Addition)
4. x = 180 degrees / 12 | Divide both sides by 12 (Division)
5. x = 15 degrees | Simplify (Simplification)
6. m<RST = 5(15) degrees | Substitute x = 15 (Substitution)
7. m<RST = 75 degrees | Multiply (Multiplication)
8. m<UVW = 7(15) degrees | Substitute x = 15 (Substitution)
9. m<UVW = 105 degrees | Multiply (Multiplication)