SOLUTION: <ECF is twice the measure of <DCE <FCB is three times the measure of <ECF <ACD is 4 degrees more than <ECF <ACB is 180 degrees What is <ACD? What is <DCE? What is <ECF? Wh

Algebra ->  Angles -> SOLUTION: <ECF is twice the measure of <DCE <FCB is three times the measure of <ECF <ACD is 4 degrees more than <ECF <ACB is 180 degrees What is <ACD? What is <DCE? What is <ECF? Wh      Log On


   

Question 488922: What is What is What is What is
Answer by cleomenius(959) About Me  (Show Source):
You can put this solution on YOUR website!
Angle ACB = 180 degrees.
Angle ACD + angle DCE + angle ECF + angle FCB = 180 degrees = angle ACB
Angle ACD = 2x + 4
Angle DCE = x
Angle ECF = 2x
Angle FCB = 6x
2x + 4 + x + 2x + 6x = 180
11x = 176
x = 11
Angle ACD = 2(16) + 4 = 36 degrees
Angle DCE = 16 degrees
Angle ECF = 2(16) = 32 degrees
Angle FCB = 6(16) = 96 degrees
36 + 16 + 32 + 96 + 180 degrees. This does check.
Cleomenius.