Statement 1: <1 and <2 are supplementary Given
Statement 2: <2 and <3 are supplementary Given
Statement 3: <1 + <2 = 180° Definition of supplementary angles
Statement 4: <2 + <3 = 180° Definition of supplementary angles
Statement 5: (<1 + <2) + <3 = 180° Transitive property of equality (Statement 3 and Statement 4)
Statement 6: <1 + (<2 + <3) = 180° Associative property of addition (Statement 5)
Statement 7: <1 + 180° = 180° Substitution (Statement 6)
Statement 8: <1 = 0° Addition property of equality (Statement 7)
Statement 9: <3 = 180° - <2 Subtraction property of equality (Statement 4)
Statement 10: <3 + <2 = (180° - <2) + <2 Addition property of equality (Statement 9)
Statement 11: <3 + <2 = 180° Subtraction property of equality (Statement 10)
Statement 12: 3 =~ 1 Definition of congruent angles (Statement 8 and Statement 11)
Complete the paragraph proof.
Given: <1 and 2 are supplementary, and <2 and <3 are supplementary.
Prove: 1 =~ 3
1 answer