Question

m∠3 = 82°. find m∠4. m∠4 =

Explanation:

Step1: Use the property of adjacent angles

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: \(m\angle4 = 180^{\circ}- 82^{\circ}\)
\(m\angle4=98^{\circ}\)

Answer:

\(98\)