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elena-s [515]
3 years ago
10

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

Mathematics
1 answer:
Fofino [41]3 years ago
7 0

Answer:

A. 70

Step-by-step 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

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