Question

m∠3 = 82°. find m∠4.
m∠4 = __°

Explanation:

1. Explanation:

• If \(\angle3\) and \(\angle4\) are supplementary angles (assuming they are on a straight - line or have a supplementary relationship based on the context of angles in geometry), the sum of two supplementary angles is \(180^{\circ}\).
• Let \(m\angle3 = 82^{\circ}\) and \(m\angle4=x\). Then the equation based on the supplementary - angle property is \(m\angle3 + m\angle4=180^{\circ}\).

Step1: Set up the equation

\(82^{\circ}+m\angle4 = 180^{\circ}\)

Step2: Solve for \(m\angle4\)

Subtract \(82^{\circ}\) from both sides of the equation: \(m\angle4=180^{\circ}-82^{\circ}\)
\(m\angle4 = 98^{\circ}\)

Answer:

\(98\)