Answer :

The required measure of the angle AEB is given as 36°.

A pentagon ABCDE has been shown in the figure, and the measure of angle AEB is to be determined.

What is the angle?

Orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
Let angle AEB be x,
Consider an isosceles triangle AEB,
The sum of the angles in a triangle is 180°.
x + x + 108 = 180 [since the angle at the vertex A has a measure of 108°]
2x = 72
x = 36°

Thus, the required measure of the angle AEB is given as 36°.

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Thank you for reading the article In the diagram below of regular pentagon ABCDE EB is drawn What is the measure of AEB. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!

Rewritten by : Jeany

Answer:

36°

Step-by-step explanation:

< EAB = 180 - (360/5) = 180-72=108°

so, < AEB = (180-108)/2 = 72/2 = 36°

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