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Answer :
Based on the information provided and the properties of angles around a point, the measure of ∠AED is 272°.
To solve this problem, we can utilize the fact that the angles around a point sum up to 360°. In other words, the angles formed by connecting the rays emanating from a single point must add up to 360°.
Since ∠AEB and ∠AED share a common vertex (point E) and are adjacent to each other, their measures must sum up to 360°. Therefore, to find the measure of ∠AED, we can subtract the measure of ∠AEB (which is given as 88°) from 360°:
Measure of ∠AED = 360° - 88° = 272°.
So, the measure of ∠AED is 272°.
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