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Chapter 3: Q1 (page 86)

State which segments (if any) are parallel. State the postulate or theorem that justifies your answer.

Short Answer

Expert verified

The required segments are KC炉and DE炉along with this the theorem is Theorem 3-6.

Step by step solution

01

Step 1. Determine which theorem or postulate 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.

鈭�1+鈭�2+鈭�3+鈭�4=180掳

02

Step 2. Make an observation from the provided figure

The provided figure consists of only two angles 鈭�EDKand 鈭�DKCwhich are positioned and are supplementary because:

m鈭�EDK+m鈭�DKC=62+118

=180

03

Step 3. Make the conclusion

Using the theorem 3-6 determine the lines that are having a parallel relation between them.

KC炉DE炉

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Most popular questions from this chapter

Sketch the polygon described. If no such polygon exists, write not possible.

A regular pentagon, one of whose angles has measure 120.

In an octagon the sum of the measures of the interior angles is _?_.

Given: GKbisects鈭�JGI

m鈭�H=m鈭�1

Prove: GK鈭�HI

In pentagon PQRST,m鈭�P=60 and m鈭�Q=130.鈭�S and鈭�T are each three times as large as 鈭�R.

  1. Find the measures of 鈭�R,鈭�Sand 鈭�T.
  2. Which pair of sides ofPQRST must be parallel?

Find the values of x andy.
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