# Angles and Secants P3

- Author:
- Ms. Matlock

- Topic:
- Angles

Drag the green dots around to see the theorems and equations at work.

## THEOREM: The measure of an angle formed by two lines that intersect inside a circle is half the sum of the measures of the intercepted arcs.

## THEOREM: The measure of an angle formed by two lines that intersect outside a circle is half the difference of the measures of the intercepted arcs.

## (5)

A) Give the relationship between the first angle (m) and its intercepted arcs (A1 and A2).
B) Give the relationship between the second angle (n) and its intercepted arcs (B1 and B2).
Make sure you check your work.
C) Compare and contrast the two theorems. How are they similar? How are they different?