Question

find the values of x and y.

Explanation:

Step1: Find the value of \(x\)

Vertical angles are equal. \((x + 4)^{\circ}\) and \(76^{\circ}\) are vertical angles.
So, \(x+4 = 76\)
Subtract \(4\) from both sides: \(x=76 - 4\)
\(x = 72\)

Step2: Find the value of \(y\)

The sum of adjacent angles around a point on a straight - line is \(180^{\circ}\).
\(y+124 = 180\)
Subtract \(124\) from both sides: \(y=180 - 124\)
\(y = 56\)

Answer:

\(x = 72\), \(y = 56\)