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Chapter 3: Q2 (page 80)

State the postulate or theorem that justifies each statement.

∠1≅∠5

Short Answer

Expert verified

Postulate 10: If two parallel lines are cut by a transversal then the corresponding angles are congruent.

Step by step solution

01

Step 1. First observation from figure

Arrowheads are shown on lines Iand 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

∠1and ∠5are corresponding angles.

Using postulate 10, If two parallel lines are cut by a transversal then the corresponding angles are congruent.

∠1≅∠5

Thus, postulate 10 justifies given statement.

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