An angle ABC is an inscribed angle if AB and BC are chords of the circle'

1
An angle ltABC is an inscribed angle if AB and BC
are chords of the circle.

• The arc that lies in the interior of an inscribed
  angle is the intercepted arc.

A
C
B
2
Theorem 10.9

• If an angle is inscribed in a circle, then its
  measure is half the measure of its intercepted
  arc.

3
Theorem 10.10

• If two inscribed angles of a circle intercept
  the same arc, then the angles are congruent.

C
D
A
B
4
Theorem 10.11

• An angle that is inscribed in a circle is a right
  angle if and only if its corresponding arc is a
  semicircle.

A
B
P
C
5
Theorem 10.12

• A quadrilateral can be inscribed in a circle if
  and only if opposite angles are supplementary.

1
2
6
M
Name the intercepted arc of ltMPL. Name the
intercepted arc of ltMNP. Is PMN a semicircle? Why
or why not? What is mPK? What is mltMPN? What is
mMN?
O.
N
P
30
L
K
7
ABCDEF is a regular hexagon. FIND measure
of ltCOD ltCAD ltDOF ltCFE ltBCA
AC CBF CAD
B
C
O
A
D
E
F
8
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