Is it enough information?
Let O be the incenter of △ A B C .
If B C = A C + A O and ∠ B − ∠ C = 1 6 ∘ , find ∠ A .
The answer is 98.
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1 solution
P
r
o
d
u
c
e
C
A
t
o
Z
w
h
e
r
e
A
Z
=
A
O
L
e
t
∠
A
b
e
θ
.
∠
A
O
Z
=
∠
A
Z
O
=
2
1
8
0
°
−
(
1
8
0
°
−
2
θ
)
=
4
θ
O
C
=
O
C
,
∠
O
C
A
=
∠
O
C
B
,
C
Z
=
C
B
⇒
△
C
Z
O
≅
C
B
O
C
Z
O
=
C
B
O
=
4
θ
(
c
o
r
r
.
∠
o
f
≅
△
)
∠
B
=
2
θ
,
∠
B
−
∠
C
=
1
6
°
⇒
∠
C
=
2
θ
−
1
6
°
∠
A
+
∠
B
+
∠
C
=
1
8
0
°
θ
+
2
θ
−
1
6
°
+
2
θ
=
1
8
0
θ
=
9
8
°