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Chapter 3: Q9 (page 80)

State the postulate or theorem that justifies each statement.

鈭�3 is supplementary to鈭�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

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

鈭�3and 鈭�5are 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, 鈭�3is supplementary to 鈭�5.

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Most popular questions from this chapter

Find the values of xand y

State the postulate or theorem that justifies each statement.

鈭�1鈮�鈭�5

State the postulate or theorem that justifies each statement.

鈭�3鈮�鈭�6

Classify each pair of angles as alternate interior, same side interior or corresponding angles

and

Classify each pair of angles as alternate interior, same side interior

or corresponding angles

and

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