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

X=90

Explanation:

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

BAC + 108° = 180°

BAC = 72°

Now,

=

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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