Question

in the figure (not to scale), line m and line n are parallel lines cut by transversal t. the value of x is 28 degrees less than the value of y. find the values of x and y. the angle y has the value □.

Explanation:

Step1: Use the relationship between \(x\) and \(y\)

Given that \(x=y - 28\). Also, since \(m\parallel n\), \(y+(y - 28)=180\) (supplementary angles).

Step2: Solve the equation for \(y\)

Expand the equation: \(y+y - 28=180\). Combine like - terms: \(2y=180 + 28\). So, \(2y=208\). Divide both sides by 2: \(y=\frac{208}{2}=104\).

Answer:

\(104\)