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Copy what is shown for Theorem 3-3 on page 79. Then write a proof in two-column form.

Short Answer

Expert verified

Proof in two column form is

Statement

Reason

1.kn

Given

2.21m2=m1

Alternate interior angle

3.m2+m4=180

Linear pair

4.m1+m4=180

Substitution Property

Step by step solution

01

Step 1. Copy what is shown for Theorem 3-3 on page 79

Line t is transversal to the parallel lineskandn

02

Step 2. Observe from figure

1and 4forms a pair of same-side interior angles

1and 2forms a pair of alternate interior angles

4and 2 forms a linear pair

03

Step 3. Write two column proof

The proof in two column form is

Statement

Reason

1.kn

Given

2.21m2=m1

Alternate interior angle

3.m2+m4=180

Linear pair

4.m1+m4=180

Substitution Property

Hence 1is supplementary to 4 proved

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