m∠3 = 82°. find m∠4. m∠4 =

m∠3 = 82°. find m∠4. m∠4 =

m∠3 = 82°. find m∠4. m∠4 =

Answer

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)