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In pentagon ABCDE, BC=CD=DE=2 units, angle E$ is a right angle and angle B = angle C = angle D = 120 degrees. The length of segment AE can be expressed in simplest radical form as a+\sqrt{b} units. What is the value of a+b?

 Jul 19, 2022
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AE = 5 + sqrt(3), so a + b = 8.

 Jul 19, 2022

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