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Section 10.3 Inscribed
Angles
Geometry
April 10, 2004
Find the measure of the angle.
C
B
mABC
= ½ (196)
= 98
A
D
196
Theorem 10.9

If two inscribed
angles of a circle
intercept the same
arc, then the angles
are congruent.

I
J
J = K
L
K
Homework
p.619
(9-23)
Inscribed Angles

Inscribed Angle – an
angle whose vertex is
on a circle and whose
sides contain chords
of the circle

Intercepted arc – an
arc that lies on the
interior of an inscribed
angle
intercepted arc
inscribed angle
Measure of an Inscribed Angle

If an angle is
inscribed in a circle,
then its measure is
half the measure of its
intercepted arc.

A
D
C
mADB = ½ mAB
B
Find the measure of each arc or
angle.
B
1. m ADC
= 180
A
C
D
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