Question

given m || n, find the value of x and y. (3x - 20)° (y - 6)° (2x + 3)°

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the corresponding angles are equal. So, \(3x - 20=2x + 3\).
\[3x-2x=3 + 20\]

Step2: Solve for \(x\)

Simplifying the left - hand side of the equation \(3x-2x=3 + 20\), we get \(x = 23\).

Step3: Find the value of \(y\)

We know that \((3x - 20)+(y - 6)=180\) (linear pair of angles). Substitute \(x = 23\) into \(3x-20\): \(3\times23-20=69 - 20=49\). Then, since \(49+(y - 6)=180\), we have \(y-6=180 - 49\), so \(y-6 = 131\) and \(y=137\).

Answer:

\(x = 23\), \(y = 137\)