addinbernier
contestada

25 points to whoever answers ASAP!!!! Find the measure of arc DF. Circle A with chords EF and CD that intersect at point G, the measure of arc EC is 5x plus 10 degrees, the measure of angle EGC is 70 degrees, and the measure of arc DF is 11x plus 2 degrees. 50° 90° 100° 140°

Respuesta :

micahmahone23

Answer:

90 degrees

Step-by-step explanation:

For this problem we will use our knowledge about the Interior Angle to Circle Theorem.

∡EGC=(arcEC+arcDF)/2

arcEC+arcDF=70°*2

5x+10+11x+2=140

16x+12=140

16x=128

x=128:16

x=8

arcDF=11*x+2=11*8+2=90°

Answer:

90°

Step-by-step explanation:

Hope this helps :)

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