Answer :

Given: AOC = 120°


Construction: Join OD


We know that,


AOC = 2 × ADC


120° = 2 ADC


ADC = 60°


Here,


ADB = 90° (angle in a semicircle)


ADB = ADC + CDB = 90°


ADC + CDB = 90°


60° + CDB = 90°


CDB = 90° – 60°


CDB = 30°


BDC = 30°

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