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In the diagram below, O is circumscribed about quadrilateral DEFG. What is the value of x?

In the diagram below, O is circumscribed about quadrilateral DEFG. What is the value-example-1
User Deirdra
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2 Answers

2 votes

Answer:

70

Explanation:

User Zeycus
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7.8k points
4 votes

Answer:

A. 70

Explanation:

The given quadrilateral DEFG is a cyclic quadrilateral.


\angle F+70\degree=180\degree...opposite angles of a cyclic quadrilateral are supplementary.


\implies \angle F=180\degree-70\degree


\implies \angle F=110\degree

The sum of angles in a quadrilateral is 360 degrees.


x-10+70+110+120=360


x+290=360


x=360-290


x=70\degree

User Mark Maxey
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