In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that lines l and m are parallel. Angles 1 and 2 are supplementary by definition. Upload the entire proof below.

Given:
∠1 and ∠2 are supplementary angles
Prove:
l || m



STATEMENT REASON
1.∠1 and ∠2 are supplementary angles 1. Given
2. m∠1 + m∠2 = 180° 2.
3. ∠1 and ∠3 are supplementary angles 3. Exterior sides in opposite rays
4. 4.
5. m∠1 + m∠2 = m∠1 + m∠3 5.
6. 6.
7. l || m 7.

In a word processing document or on a separate piece of paper use the guide to construct a two column proof proving that lines l and m are parallel Angles 1 and class=

Respuesta :

Line m and line l are parallel as m∠2 = m∠3

Equation

An equation is an expression that shows the relationship between two or more variables and numbers.

Two angles are said to be supplementary if they add up to 180 degrees.

m∠1 + m∠2 = 180° (Given)

m∠1 + m∠3 = 180° (sum of angles on a straight line)

Hence:

m∠1 + m∠2 = m∠1 + m∠3

m∠2 = m∠3

Line m and line l are parallel as m∠2 = m∠3

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