Alternate segment theorem Practice problem #1

Описание: The Alternate Segment Theorem states that the angle between a tangent and a chord through the point of contact is equal to the angle subtended by that chord in the alternate segment (the segment on the opposite side of the chord). Essentially, if you have a triangle touching a tangent at one vertex, the angle between the tangent and the side of the triangle equals the angle in the opposite (alternate) part of the circle.
Notes
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Key Concepts

Tangent: A line touching the circle at only one point.
Chord: A line segment connecting two points on the circle's circumference.
Segments: The two areas a chord divides a circle into (major and minor).
Alternate Segment: The segment on the opposite side of the chord from the angle being considered

How to Identify It

Look for a tangent and a chord meeting at a point on the circle.
Find the angle formed between the tangent and the chord.
Identify the angle within the triangle formed by the chord and another chord, located in the segment opposite the first angle.
These two angles are equal




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