Find the value of angle $x$ in this triangle

anglegeometrytriangles

enter image description here
Can you please help me finding the value of angle $x$ in this image (I've drawn using microsoft paint, and added as many angles as many I could figure out). All angles are in degrees. Any exterior angle property or angle sum property seems not to help further.

Best Answer

Draw the angle bisector of $DAC$ and let it meet the $BD$ at $P$.
The rest is just angle chasing and your desire angles are $ACD=78°$ and $BCD=18°$ enter image description here

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