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< AXC=? AC = BD, <ABX = <AX B = 50^o, <CAD = 51^o, <AED = 80^o

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February 28, 2024
geometrysngles

Problem Statement

In the convex quadrilateral ABCDABCD, point XX is selected on side ADAD, and the diagonals intersect at point EE. It is known that AC=BDAC = BD, ∠ABX=∠AXB=50o\angle ABX = \angle AX B = 50^o, ∠CAD=51o\angle CAD = 51^o, ∠AED=80o\angle AED = 80^o. Find the value of angle ∠AXC\angle AXC.
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