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Chapter 3: Q15 (page 89)

Use the give information to name the segments (if any) that must be parallel.

m∠7+m∠AED=180

Short Answer

Expert verified

The required segments are AE¯and AE¯.

Step by step solution

01

Step 1. Determine the theorem or postulate that can be used

The theorem 3-6 can be used which states that the relation between two lines is parallel only when a separate line travels through these two lines and the angles which are positioned on the same side are supplementary which means that their measurement will be equal to if they are added.

02

Step 2. Observe the provided figure

The blue lines AE¯and BD¯are having a separate line ED¯that is travelling through them and this result in formation of angles ∠7and ∠AEDwhich are positioned on same side of interior.

03

Step 3. Make the conclusion

According to the theorem 3-5 determine the lines AE¯andBD¯ are having a parallel relation between them because the angles formed by these lines are supplementary and positioned on same interior side.

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