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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