Question

10 fill in the blank 6 points if l || m, then find the value of x and y. (7y - 23)° (23x - 16)° (8x - 21)°

Explanation:

Step1: Use corresponding - angles property

Since \(l\parallel m\), the corresponding - angles are equal. So, \(23x - 16=8x - 21\).

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Step2: Use linear - pair property

The angles \((7y - 23)^{\circ}\) and \((23x - 16)^{\circ}\) form a linear - pair. So, \((7y - 23)+(23x - 16)=180\).
Substitute \(x =-\frac{1}{3}\) into the equation:

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Answer:

\(x =-\frac{1}{3},y=\frac{680}{21}\)