SOLUTION: <DCE is four times the measure of <ECB <ACD is 5 degress more than one half the measure of <DCE <ACB is 180 degrees. What is <ACD? What is <DCE? What is <ECB?

Algebra ->  Angles -> SOLUTION: <DCE is four times the measure of <ECB <ACD is 5 degress more than one half the measure of <DCE <ACB is 180 degrees. What is <ACD? What is <DCE? What is <ECB?      Log On


   

Question 488924: What is What is What is
Answer by cleomenius(959) About Me  (Show Source):
You can put this solution on YOUR website!
Angle ACB = Angle ACD + angle DCE + angle ECB.
Angle ACD = 1/2(4x) + 5
Angle DCE = 4x
Angle ECB = x
Angle ACB = 180.
2x + 5 + 4x + x = 180
7x = 175
x = 25
Angle ACD = 1/2(100) + 5 = 55 degrees.
Angle DCE = 4(25) = 100 degrees.
Angle ECB = 25 degrees.
55 degress + 100 degrees + 25 degrees = 180 degrees.
Cleomenius.