turkey-yks 2017 Q30

turkey-yks · Other · ygs Trig Proofs Triangle Trigonometric Relation
ABC is an isosceles triangle $\mathrm { D } \in [ \mathrm { BC } ] , \mathrm { B } \in [ \mathrm { AE } ]$ $| \mathrm { AB } | = | \mathrm { BC } |$ $| \mathrm { AC } | = | \mathrm { AD } | = | \mathrm { DE } |$ $\mathrm { m } ( \widehat { \mathrm { ADB } } ) = 111 ^ { \circ }$ $m ( \widehat { B D E } ) = x$
Accordingly, how many degrees is $x$?
A) 15 B) 18 C) 21 D) 24 E) 27
ABC is an isosceles triangle
$\mathrm { D } \in [ \mathrm { BC } ] , \mathrm { B } \in [ \mathrm { AE } ]$
$| \mathrm { AB } | = | \mathrm { BC } |$
$| \mathrm { AC } | = | \mathrm { AD } | = | \mathrm { DE } |$
$\mathrm { m } ( \widehat { \mathrm { ADB } } ) = 111 ^ { \circ }$
$m ( \widehat { B D E } ) = x$

Accordingly, how many degrees is $x$?

A) 15
B) 18
C) 21
D) 24
E) 27