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Secant/Tangent Angles. Section 10.5 – Part One. A. 1. O. B. Central Angles. Rule. Diagram. The angle is the same as the intercepted arc. Formula. C. 2. D. Case 1: Intersection on the Circle. Rule. Diagram. The angle is half the intercepted arc. Formula. E. G. 3. F.

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secant tangent angles

Secant/Tangent Angles

Section 10.5 – Part One

central angles

A

1

O

B

Central Angles

Rule

Diagram

The angle is the same as the intercepted arc.

Formula

case 1 intersection on the circle

C

2

D

Case 1: Intersection on the Circle

Rule

Diagram

The angle is half the intercepted arc.

Formula

case 1 intersection on the circle1

E

G

3

F

Case 1: Intersection on the Circle

Rule

Diagram

The angle is half the intercepted arc.

Formula

find x
Find x.

S

100⁰

R

T

x

case 2 intersection inside the circle

J

H

4

K

L

Case 2: Intersection inside the Circle

Rule

Diagram

The angle is half the sum of the intercepted arcs.

Formula

find x1
Find x.

N

°

60

x

M

O

°

100

P