Q. 193.7( 10 Votes )

In the given figure, AD divides in the ratio 1:3 and AD=DB. Determine the value of.


Answer :

X=90


Explanation:


BAC + CAE = 180°[Because BE is a straight line]


BAC + 108° = 180°


BAC = 72°


Now,
AD = DB


=


BAD = ( �)72°= 18°


DAC = ( �)72°= 54°


In triangle ABC,


A + B + C = 180°[Sum of angles of triangle]


72° + 18° + x = 180°


x = 90°


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