Question

m∠3 = 82°. find m∠4. m∠4 =

Explanation:

Step1: Use the property of adjacent angles on a straight line

Adjacent angles on a straight line sum to \(180^{\circ}\). So, \(m\angle3 + m\angle4=180^{\circ}\).

Step2: Solve for \(m\angle4\)

Given \(m\angle3 = 82^{\circ}\), then \(m\angle4=180^{\circ}-m\angle3\). Substitute \(m\angle3 = 82^{\circ}\) into the formula: \(m\angle4 = 180^{\circ}-82^{\circ}\).

Answer:

\(98\)