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Chapter 3: Q5 (page 80)

State the postulate or theorem that justifies each statement.

m鈭�4=m鈭�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

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 IandP

03

Step 3. Third observation from figure

鈭�4and 鈭�8are corresponding angles.

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

m鈭�4=m鈭�8

Thus, postulate 10 justifies given statement.

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Most popular questions from this chapter

Find the values of xand y

Exercises 23 鈥� 29 refer to the diagram in Step 2 of Exercise 22

Suppose the top and bottom of the box lie in parallel lines. Explain how theorem 3.1 can be used to prove CD炉鈥�鈭�鈥�IJ炉.

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art

and

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