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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).



Correct Answer
A

20, 115

Your Answer
B

115, 20 

Your Answer
C

30, 125

Your Answer
D

20, 125


Solution

The correct option is A

20, 115


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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