Question

what is the measure of angle adw?
28°
96°
100°
110°

Explanation:

Step1: Analyze the composition of angle \(ADW\)

Angle \(ADW\) is composed of two adjacent angles with measures \(36^{\circ}\) and \(64^{\circ}\).

Step2: Calculate the measure of angle \(ADW\)

According to the angle - addition postulate, if two angles are adjacent, the measure of the larger angle formed by them is the sum of their measures. So, \(m\angle ADW=36^{\circ}+64^{\circ}\).

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Answer:

\(100^{\circ}\) (the third option)