Question

given m || n, find the value of x and y. (6x + 4)° (9x - 14)° y° answer attempt 1 out of 3 x = y =

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the corresponding angles are equal. So, \(6x + 4=9x-14\).

Step2: Solve for \(x\)

Subtract \(6x\) from both sides: \(4 = 9x-6x - 14\), which simplifies to \(4=3x - 14\). Then add 14 to both sides: \(4 + 14=3x\), so \(18 = 3x\). Divide both sides by 3, we get \(x = 6\).

Step3: Find the value of \(y\)

We know that \(y\) and \((6x + 4)\) are supplementary angles (linear - pair). Substitute \(x = 6\) into \(6x+4\), we have \(6\times6 + 4=40\). Since \(y+(6x + 4)=180\), then \(y=180-(6x + 4)\). Substituting \(x = 6\) gives \(y = 180 - 40=140\).

Answer:

\(x = 6\), \(y = 140\)