# Angle Formed by Two Chords

How to find the angle formed by two intersecting chords of a circle: formula, 1 example, and its solution.

## Formula

θ = [1/2](m[arc AC] + m[arc BD])

θ: Angle formed by two intersecting chords

arc AC: The same side arc

arc BD: The opposite side arc

## Example

Solution

Solution (Detail)

xº is the angle

formed by two intersecting chords AB and CD.

The same side arc is 74º.

The opposite side arc is 32º.

So x = [1/2]⋅(74 + 32).

74 + 32 = 106

[1/2]⋅106 = 53

So 53 is the answer.