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Mathematics
Mathematics
Problem
On the same side of line segment
B
C
BC
B
C
, two triangles
△
A
B
C
\triangle ABC
△
A
B
C
and
△
D
B
C
\triangle DBC
△
D
B
C
are constructed such that
A
B
=
A
C
AB = AC
A
B
=
A
C
and
D
B
=
D
C
DB = DC
D
B
=
D
C
. The vertices
A
A
A
and
D
D
D
are joined. a. (i) Prove that
A
D
AD
A
D
is perpendicular to
B
C
BC
B
C
. b. (ii) If
∠
A
B
C
=
50
∘
\angle ABC = 50^{\circ}
∠
A
B
C
=
5
0
∘
, determine
∠
B
A
D
\angle BAD
∠
B
A
D
.
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