longshlongJay longshlongJay
  • 15-06-2021
  • Mathematics
contestada

In the circle above, Line EF and CD intersect at G. Determine the measure of arc DE.
please help me

In the circle above Line EF and CD intersect at G Determine the measure of arc DE please help me class=

Respuesta :

coolstick
coolstick coolstick
  • 16-06-2021

Answer:

100

Step-by-step explanation:

It is a rule that for two opposite arcs, with intersecting lines, between them, the average of the arcs is equivalent to the inside angle. Given this, we can say that:

(CF + ED)/2 = angle G

plug values in

(12x+9x+10)/2 = 110

multiply both sides by 2

21x + 10 = 220

subtract 10 from both sides

21x = 210

divide both sides by 21

x=10

Plug this into DE

10*9+10 = 100

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