Question

question given m || n, find the value of x and y. answer attempt 1 out of 2 x = y =

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the corresponding angles are equal. So, \(7x = 2x + 18\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides: \(7x-2x=2x + 18-2x\), which gives \(5x=18\). Then \(x=\frac{18}{5}=3.6\).

Step3: Find the value of \(y\)

The angle \((7x)^{\circ}\) and \(y^{\circ}\) are supplementary (a linear - pair). So \(y = 180 - 7x\). Substitute \(x = 3.6\) into the equation: \(y=180-7\times3.6=180 - 25.2 = 154.8\).

Answer:

\(x = 3.6\), \(y = 154.8\)