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Chapter 3: Q9 (page 81)

Find the values of xand y

Short Answer

Expert verified

Values are x=60 andy=18

Step by step solution

01

Step 1. Label the given figure

02

Step 2. Observations from figure

Arrowheads denotes line segment AB炉is parallel toAC炉

Double arrowheads denotes line segment HE炉is parallel toFG炉

Line segment HE炉is transversal to parallel lines AB炉andCD炉

Line segment FD炉is transversal to parallel lines HE炉andFG炉.

03

Step 3. Find x degree

鈭�BAHand 鈭�BAEforms a linear pair, so sum of these angles is supplementary

m鈭�BAH+m鈭�BAE=180

120+m鈭�BAE=180

m鈭�BAE=180鈭�120

m鈭�BAE=60

鈭�BAEand 鈭�DCEforms a pair of corresponding angles

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

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Most popular questions from this chapter

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

and

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