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Get access to the detailed solutions to the previous years questions asked in IIFT exam
Given,
AD = DC, this implies angle ACD = angle DAC = x
DC = BC, this implies angle CDB = angle CBD = 2x
Angle DCB = 180 - x - 81 = 99 - x
In triangle BCD, sum of the angles is 180 degrees
99 - x + 2x + 2x = 180
3x = 81
x = 27
Angle DBC = 2x = 54 degrees
The answer is option C.