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Chapter 3: Q8 (page 81)

Find the values of xand y

Short Answer

Expert verified

Values arex=10andy=45

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 to DC炉

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

03

Step 3. Find x degree

鈭�BADand 鈭�ADCforms a pair of same-side interior angles

Theorem 3-3: If two parallel lines are cut by a transversal then the same-side interior angles are supplementary.

m鈭�BAD+m鈭�ADC=1804x+14x=18018x=180x=18018

Thus,x=10

04

Step 4. Find y degree

鈭�DCBand 鈭�CBAforms a pair of same-side interior angles

Theorem 3-3: If two parallel lines are cut by a transversal then the same-side interior angles are supplementary.

m鈭�DCB+m鈭�CBA=1802y+90=180

2y=180鈭�90y=902

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