Angles in segments

1. Angles in the same segment. When two triangles are inside a circle and their points touch the sides, angles on the upper layer are the same. This is called angles in the same segment.













In this case, angle A and B is the same because of the property: angle in the same segments.

In full: the angles in the same segment of a circle are equal.
Abbreviation: angles in the same segment.


Examples:
In the diagram, AC and BD intersect at E, ∠ACB=54° and ∠ABD=53°. Find ∠ADB and ∠DAB.












∠ADB=54° (∠s in the same segment)

∠DAB=180-53-54
=73° (sum of ∠ in a triangle)