Question

141° find m∠x find m∠y 41° 86°

Explanation:

Step1: Use vertical - angle property for x

Vertical angles are equal. The angle vertical to the one marked \(86^{\circ}\) is \(x\), so \(x = 86^{\circ}\).

Step2: Use angle - sum property for y

The sum of angles around a point is \(360^{\circ}\). We know one angle is \(141^{\circ}\), another is \(86^{\circ}\), and the third is \(41^{\circ}\). Let's find \(y\). First, find the sum of the known non - \(y\) angles: \(141 + 86+41=268^{\circ}\). Then, since the sum of all angles around the point is \(360^{\circ}\), we have \(y=360 - 268 = 92^{\circ}\).

Answer:

\(m\angle x = 86^{\circ}\), \(m\angle y=92^{\circ}\)