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Chapter 3: Q4 (page 80)

State the postulate or theorem that justifies each statement.

m∠4+m∠6=180

Short Answer

Expert verified

Theorem 3-3: If two parallel lines are cut by a transversal then the same-side interior angles are supplementary.

Step by step solution

01

Step 1. First observation from figure

Arrowheads are shown on linesI and P, so these lines are parallel.

02

Step 2. Second observation from figure

Line tis transversal to the parallel lines IandP.

03

Step 3. Third observation from figure

∠4and ∠6are same-side interior angles.

Using theorem 3-3: If two parallel lines are cut by a transversal then the same-side interior angles are supplementary.

m∠4+m∠6=180

Thus, theorem 3-3 justifies given statement.

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