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, \(6x + 19=7x + 15\).

Step2: Solve the equation for \(x\)

Subtract \(6x\) from both sides of the equation \(6x + 19=7x + 15\). We get \(19=x + 15\). Then subtract 15 from both sides: \(x=19 - 15=4\).

Step3: Find the value of \(y\)

The angle \((6x + 19)^{\circ}\) and \(y^{\circ}\) are supplementary (linear - pair of angles). First, find the value of \(6x+19\) when \(x = 4\). \(6x+19=6\times4 + 19=24 + 19=43\). Since \(y\) and \(6x + 19\) are supplementary, \(y=180-(6x + 19)\). Substituting \(x = 4\), we have \(y=180 - 43=137\).

Answer:

\(x = 4\), \(y = 137\)