Chapter 3: Q9 (page 80)

State the postulate or theorem that justifies each statement.
$∠ 3$ is supplementary to $∠ 5$

Short Answer

Expert verified

If two parallel lines are cut by a transversal line than the pairs of same side interior angles are supplementary.

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

$∠ 3$ and $∠ 5$ are same side interior angles

Using theorem:. If two parallel lines are cut by a transversal line than the pairs of same side interior angles are supplementary.

Thus, $∠ 3$ is supplementary to $∠ 5$ .

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State the postulate or theorem that justifies each statement.
$∠ 3$ is supplementary to $∠ 5$

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.∠3 is supplementary to∠5

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

Calculus

Probability and Statistics

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Decision Maths

Study anywhere. Anytime. Across all devices.

State the postulate or theorem that justifies each statement.
$∠ 3$ is supplementary to $∠ 5$