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

Question

asked Feb 11, 2020 110k views

2 Answers

Mark Maxey · Answer 1 · 2020-02-16T08:19:57+0000

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

$x=70\degree$