crodz66
crodz66 crodz66
  • 25-04-2019
  • Mathematics
contestada

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 of x class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 04-05-2019

Answer:

A. 70

Step-by-step explanation:

The given quadrilateral DEFG is a cyclic quadrilateral.

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

[tex]\implies \angle F=180\degree-70\degree[/tex]

[tex]\implies \angle F=110\degree[/tex]

The sum of angles in a quadrilateral is 360 degrees.

[tex]x-10+70+110+120=360[/tex]

[tex]x+290=360[/tex]

[tex]x=360-290[/tex]

[tex]x=70\degree[/tex]

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Loldufu Loldufu
  • 10-08-2021

Answer:

70

Step-by-step explanation:

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