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Chapter 3: Q7 (page 81)

Find the values of xand y

Short Answer

Expert verified

Values arex=60掳andy=61掳

Step by step solution

01

Step 1. Label the given figure

02

Step 2. Observations from figure

Arrowheads denote line segment AB炉is parallel toCD炉

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

03

- Find x degree

鈭�ABCand 鈭�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.

鈭�x鈮�鈭�ABCm鈭�x=m鈭�ABC

Thus,x掳=60掳

04

- Find y degree

鈭�CABand 鈭�yforms a pair of corresponding angles

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

鈭�y鈮�鈭�CABm鈭�y=m鈭�CAB

Thus,y掳=61掳

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