Question

m∠3 = 82°. find m∠4. m∠4 =

Explanation:

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

Angles ∠3 and ∠4 are adjacent angles on a straight line. The sum of adjacent angles on a straight line is \(180^{\circ}\). So, \(m\angle3 + m\angle4=180^{\circ}\)

Step2: Solve for \(m\angle4\)

Given \(m\angle3 = 82^{\circ}\), substitute into the equation \(m\angle3 + m\angle4=180^{\circ}\). Then \(m\angle4=180^{\circ}-m\angle3\)

Substitute \(m\angle3 = 82^{\circ}\) into \(m\angle4=180^{\circ}-m\angle3\), we get \(m\angle4 = 180^{\circ}- 82^{\circ}=98^{\circ}\)

Answer:

\(98\)