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Angle C is an inscribed angle of circle P. Angle C measures (5x – 7)° and arc AB measures (2x)° . Find x.

Angle C is an inscribed angle of circle P. Angle C measures (5x – 7)° and arc AB measures-example-1
User Shackles
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m∠C = (1/2)(m arc AB), because ∠C is an inscribed angle.

(5x-7) = (1/2)(2x)

5x-7 =x

4x = 7

x= 7/4 or 1.75

User Psytronic
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