Chapter 3: Q5 (page 80)

State the postulate or theorem that justifies each statement.
$m ∠ 4 = m ∠ 8$

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

Step 1. First observation from figure

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

Step 2. Second observation from figure

Line $t$ is transversal to the parallel lines $I$ and $P$

Step 3. Third observation from figure

$∠ 4$ and $∠ 8$ are corresponding angles.

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

$m ∠ 4 = m ∠ 8$

Thus, postulate 10 justifies given statement.

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State the postulate or theorem that justifies each statement.
$m ∠ 4 = m ∠ 8$

Short Answer

Step by step solution

Step 1. First observation from figure

Step 2. Second observation from figure

Step 3. Third observation from figure

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State the postulate or theorem that justifies each statement.m∠4=m∠8

Short Answer

Step by step solution

Step 1. First observation from figure

Step 2. Second observation from figure

Step 3. Third observation from figure

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Study anywhere. Anytime. Across all devices.

State the postulate or theorem that justifies each statement.
$m ∠ 4 = m ∠ 8$