MathDB
2020 Geometry 4

Source:

February 2, 2020
geometry2020

Problem Statement

Triangle ABCABC has a right angle at BB. The perpendicular bisector of AC\overline{AC} meets segment BC\overline{BC} at DD, while the perpendicular bisector of segment AD\overline{AD} meets AB\overline{AB} at EE. Suppose CECE bisects acute ACB\angle ACB. What is the measure of angle ACBACB?