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Question

In the given figure, AD divides BAC in the ratio 1:3. Find the value of X and ADC (in degrees).


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Solution

EAC=ABC+X (External angle property)
120=100+X
So, X=20

BAC+ACB+ABC=180

BAC+X+100=180
Hence,
BAC=60
Therefore,
DAC=34BAC=45
(because 1 and 3 are in ratio 1:3)

ADC=180(45+20)=115


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