Question

For circle Q, (DC) ̅ and (GC) ̅ are tangent line segments. Use the given information to solve for

m(DB) ̂ =
m∠DFB =

m∠DCB =
m∠ADC =

m(AE) ̂ =
m∠ABF =
Show all your work

Answer 1

Arc DB = 2 ( angle DAB ) = 2 (35) = 70 degrees
Arc DG = 2 (Arc DB) = 2 (150) =150 degrees

Arc DAG = 360 - Arc DG = 360 - 150 = 210 degrees

Angle DCG = (210 - 150) /2 = 30 degrees
Angle DCB = 30/2 = 15 degrees