Question

given ( m parallel n ), find the value of ( x ) and ( y ).
answer attempt 1 out of 2
( x=)( y=)

Explanation:

Step1: Use the property of same - side interior angles

Since \(m\parallel n\), \((3x + 8)+(6x + 19)=180\) (same - side interior angles are supplementary).

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Step2: Use the property of corresponding angles

The angle \((3x + 8)\) and \((2y + 1)\) are corresponding angles. When \(x = 17\), \(3x+8=3\times17 + 8=51 + 8=59\).
Since \(3x + 8=2y+1\), then \(2y+1 = 59\).

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Answer:

\(x = 17\), \(y = 29\)