Question

in a cyclic quadrilateral ABCD /ABC 105° then find ADC

Answer 1

In cyclic quadrilateral ABCD
ABC+ADC= 180
105+ADC=180
ADC=180-105
ADC=75

Answer 2

Heya buddy,


Here is your answer,

Well since, ABCD is a cyclic quadrilateral,

Thus,

The sum of the opposite angles of a cyclic quadrilateral is equal to 180°

Thus,

In cyclic quadrilateral ABCD,

Angle(ABC) = 105° (given)
Angle(ADC) = ?

Therefore,

=> Angle(ABC) + Angle(ADC) = 180°

=> Angle(ADC) + 105° = 180°

=> Angle(ADC) = 180° - 105°

=> Angle(ADC) = 75° (ANS)


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