Question

what is m∠1?
m∠1 = □°

Explanation:

Step1: Use the property of vertical angles

Vertical angles are equal. The angle adjacent to \(98^{\circ}\) is \(180 - 98=82^{\circ}\) (linear - pair property: sum of adjacent angles on a straight line is \(180^{\circ}\)).

Step2: Use the property of corresponding angles

Since the lines are parallel (assumed from the figure structure for angle - relationship problems of this type), \(\angle1\) and the \(82^{\circ}\) angle (obtained from the previous step) are corresponding angles. Corresponding angles are equal when two parallel lines are cut by a transversal.

Answer:

\(82\)