The measure of ∠EAB is 81° To achieve this result we used the Tangent-Chord Angle Theorem.
What is the Tangent-Chord Angle Theorem?
According to the above theorem, "For every circle, the angle produced by the chord in the alternative segment is equal to the angle created by the tangent via the point of contact of the tangent."
The tangent-chord theorem is another name for the alternative segment theorem.
What is the solution that gives 81°?
Given that the arc ADB = 162°
Tangent = EF
Chord = AB
To determine ∠EAB we apply the Tangent Chord Angel theorem.
According to the the theorem,
∠EAB = 1/2 [tex]\overset{\huge\frown}{ADB}[/tex]
∠EAB = 1/2 x 162°
∠EAB = 81°
Learn more about Tangent-Chord Angle Theorem at:
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