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angle ADB = 80 degree (given)
angle DCB = 50 degree (given)
angle ADB + angle CDA = 180 (Linear pair)
80 + angle CDA = 180
therefore , angle CDA = 100 degree
Now , according to angle sum property of a triangle , all the angles of a triangle sum of to 180 degree.
In triangle BDC ,
angle CDA + angle DCB + angle DBC =180
100 + 50 + angle DBC = 180
angle DBC = 30 degree
therefore , angle DBC = x = 30 degree(Ans)
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