Question

given (mparallel n), find the value of (x) and (y). (4y - 7)° (6x + 9)° (2x + 3)°

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the corresponding angles are equal. So, \(6x + 9=2x+3\).

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Step2: Use linear - pair property

The angles \((4y - 7)^{\circ}\) and \((6x + 9)^{\circ}\) form a linear - pair, so \((4y-7)+(6x + 9)=180\). Substitute \(x =-\frac{3}{2}\) into the equation:

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Answer:

\(x =-\frac{3}{2},y=\frac{187}{4}\)