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given ( m parallel n ), find the value of ( x ) and ( y ). answer attem…

Question

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

Explanation:

Step1: Find the value of \(x\)

Since \(m\parallel n\), \((6x - 2)^{\circ}+(3x + 2)^{\circ}=180^{\circ}\) (supplementary angles).

$$ LATEXBLOCK0 $$

Step2: Find the value of \(y\)

\(y^{\circ}=(3x + 2)^{\circ}\) (corresponding angles). Substitute \(x = 20\) into \(3x+2\).

$$ LATEXBLOCK1 $$

Answer:

\(x = 20\), \(y = 62\)