Question

Complete the two-column proof.

(6 points)
Given: 42 and L5 are supplementary
Prove: 7 m

Answer 1

<2 and <5 are supplementary. Given.

<3 and <2 are vertical angles. Definition of Vertical Angles.

<3 and <2 are congruent. Congruent Angles Theorem.

m<3 = m<2 Definition of Congruent Angles.

m<2 + m<5 = 180 Definition of Supplementary Angles.

m<3 + m<5 = 180 Substitution Property of Equality.

<3 and <5 are supplementary. Definition of Supplementary Angles.

Line l is parallel to line m. Converse of Consecutive Angles Theorem.