Question

in the figure below, k || j. find the values of x and y. try one last time

Explanation:

Step1: Use corresponding - angles property

Since \(k\parallel j\), the angle of \(70^{\circ}\) and the angle of \(x^{\circ}\) are corresponding angles. So \(x = 70\).

Step2: Use linear - pair property

The angle \((4y - 38)^{\circ}\) and \(x^{\circ}=70^{\circ}\) form a linear - pair. So \((4y - 38)+x=180\). Substitute \(x = 70\) into the equation: \((4y - 38)+70 = 180\).

Step3: Solve for \(y\)

First simplify the left - hand side of the equation: \(4y+32 = 180\). Then subtract 32 from both sides: \(4y=180 - 32=148\). Divide both sides by 4: \(y=\frac{148}{4}=37\).

Answer:

\(x = 70\), \(y = 37\)