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Find the values of xand y

Short Answer

Expert verified

Values arex=60°andy=61°

Step by step solution

01

Step 1. Label the given figure

02

Step 2. Observations from figure

Arrowheads denote line segment AB¯is parallel toCD¯

Line segments BC¯and AC¯are transversal to these parallel lines

03

- Find x degree

ABCand xforms a pair of alternate interior angles

Theorem 3-2: If two parallel lines are cut by a transversal then the alternate interior angles are congruent.

xABCmx=mABC

Thus,x°=60°

04

- Find y degree

CABand yforms a pair of corresponding angles

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

yCABmy=mCAB

Thus,y°=61°

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