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.