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Chapter 3: Q6 (page 80)

State the postulate or theorem that justifies each statement.

m鈭�4=m鈭�5

Short Answer

Expert verified

Theorem 3-2: If two parallel lines are cut by a transversal then the alternate interior angles are congruent.

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 Iand P.

03

Step 3. Third observation from figure

鈭�4and 鈭�5are alternate interior angles.

Theorem 3-2: If two parallel lines are cut by a transversal then the alternate interior angles are congruent.

m鈭�4=m鈭�5

Thus, theorem 3-2 justifies given statement.

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Draw each figure described.

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