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Please help me with this Alternate Segment Theorem:

Please help me with this Alternate Segment Theorem:-example-1

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Answer:

see explanation

Explanation:

An angle between a tangent and a chord is equal to the angle in the alternate segment.

(a)

x = 70°

(b)

x = 55°, y = 60°

(c)

x = 65°, y = 63°

z = 180° - (65 + 63)° ← angle sum in a triangle = 180°

z = 180° - 128° = 52°

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