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Sagot :
Answer:
∠E = 150°
Step-by-step explanation:
All sides of the convex pentagon ABCDE are of equal length, and ∠A = ∠B = 90°. What is the degree measure of ∠E?
Solution:
A pentagon is a polygon with five sides and five angles. For a regular polygon, all the sides are equal and each angle is 108°.
Since ∠A and ∠B are right angles, and AE = BC = AB = CE. Therefore ABCE is a square. This means ∠AEC = 90°
Also triangle CDE is equilateral because all sides of the triangle are equal, hence ∠DEC = 60°.
Therefore ∠E = ∠AEC + ∠DEC = 90° + 60°
∠E = 150°
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