Download Inscribed Angle Theorem

The vertex of B is on circle O
The sides of angle B are _chords .
<B is an _inscribed angle.
AC is the intercepted arc of angle B
Inscribed Angle Theorem
measure of an inscribed angle is
_1/2 the measure_
of its intercepted arc.
The
I
m∠X=
mXY=
m∠1= ½ mAB
If mAB= 80°
then m∠1=
m∠C=
mCF=
Two __________________ angles that
intercept the same arc are ____________________.
Example:
Find m∠𝑅.
An inscribed angle intercepts a _diameter__
if and only if it is a _right angle_.
This means the _diameter__always
subtends an angle of 90°.
Find m∠𝐵
A polygon
is inscribed in a circle if all its vertices
___________________
_are
on the circle_.
The circle _circumscribes__ the polygon.
The _opposite angles____ of a
_quadrilateral_inscribed in a circle are
supplementary_.
Example:
Find
𝑚∠𝑆
and 𝑚∠𝑇
𝑚∠𝐿 + 𝑚∠𝑁 =
𝑚∠𝐾 + 𝑚∠𝑀 =