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In isosceles triangle ABC, sides AC and BC are equal. Point D lies on side BC such that both of the smaller triangles ABD and ACD are also isosceles. If AD and AB are equal, what is the measure of angle ABC in degrees?

In isosceles triangle ABC sides AC and BC are equal Point D lies on side BC such that both of the smaller triangles ABD and ACD are also isosceles If AD and AB class=