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

Question

Philoid · Accepted 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°