rwltide1 rwltide1
  • 03-03-2020
  • Mathematics
contestada

PLEASE HELP!!!!
ERGF is inscribed in a circle.
Find the measure of angle E.

PLEASE HELP ERGF is inscribed in a circle Find the measure of angle E class=

Respuesta :

bobbyv2 bobbyv2
  • 06-03-2020

In a cyclic quadrilateral ( a quadrilateral that is inscribed in a circle),

opposite angles add up to 180 degrees. So you can form an equation and solve for x, and thus angle E.

Therefore:

(-2 + 6x) + (7x - 13) = 180

13x - 15 = 180

13x = 195

x = 15

So angle E = 5x

                 = 5 (15)

                 = 75 degrees

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