# Angle Formed by Two Intersecting Secants

How to find the measure of the angle formed by two intersecting secants: formula, example, and its solution.

## Formula

m∠[brown] = (1/2)(m[blue arc] - m[green arc])

∠[brown]: Angle formed by two intersecting secants

[blue arc], [green arc]: Intercepted arcs

## Example

The brown angle is the angle

formed by two intersecting secants.

m∠[brown] = *x*

The intercepted arcs are 108º and 44º.

So *x* = (1/2)⋅(108 - 44).

108 - 44 = 64

(1/2)⋅64 = 32

So *x* = 32.