The figure shows a circle with center
P
, a diameter
¯¯¯¯¯¯
B
D
, and inscribed

B
C
D
.
P
C

=

10
.
Let
m

C
B
D
=
(
x
)
°
and
m

B
C
D
=
(
x
+
54
)
°
.