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The image shows a quadrilateral inscribed in a circle.What is the value of x?

The image shows a quadrilateral inscribed in a circle.What is the value of x?-example-1
User Blaylockbk
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1 Answer

18 votes
18 votes

Opposite angles of a cyclic quadrilateral are supplementary in measures; so:

6x + 3x + 6 = 180

Solving for x:

6x + 3x = 180 - 6

9x = 174

x = 19.3

User Rabi Roshan
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