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\( n ^ { \Delta x } \) In the adjoining figure, \( \angle \mathrm { ABC } = 50 ^ { \circ } , \angle \mathrm { BDA } = 100 ^ { \circ } , \angle \mathrm { ADE } = \angle \mathrm { AED } = \) \( 80 ^ { \circ } , \angle \mathrm { AEC } = 100 ^ { \circ } \mathrm { and } , \angle \mathrm { ACE } = 40 ^ { \circ } . \) Find \( \angle \mathrm { DAX } , \angle \mathrm { EAX } , \angle \mathrm { CAX } \) and the difference between \( \angle \mathrm { DAX } \) and \( \angle \mathrm { CAX } \). \( A \) \( B \cdot \frac { A } { D } \frac { A } { E } \)

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