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GeometryChallengeGeometry Essentials

Geometry Essentials · Challenge problem

Segments ABAB and CDCD intersect at point XX, with AA, XX, BB collinear in that order and CC, XX, DD collinear in that order (so △AXC\triangle AXC and △BXD\triangle BXD sit on opposite sides of XX). If m∠XAC=35∘m\angle XAC=35^\circ, m∠XCA=48∘m\angle XCA=48^\circ, and m∠XBD=20∘m\angle XBD=20^\circ, find m∠XDBm\angle XDB.