jmc

Question

All sides of the convex pentagon ABCDE are of equal length, and A = B = 90^. What is the degree measure of E?

Accepted Answer

Because AB=BC=EA and A = B = 90^, quadrilateral ABCE is a square, so AEC = 90^. FIGURE Also CD=DE=EC, so CDE is equilateral and CED = 60^. Therefore E = AEC + CED = 90^ + 60^ = 150^.