SOLUTION: triangle CDE sits atop square ABCD, CE is perpendicular to CD, and CED=2 x mCDE what is the measures of CED and CDE

Question 1108294: triangle CDE sits atop square ABCD, CE is perpendicular to CD, and CED=2 x mCDE what is the measures of CED and CDE
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
triangle CDE is a right triangle with m ECD = 90 degrees
:
m CED + m CDE = 180 - 90 = 90 degrees
:
m CED = 2 x m CDE
:
let z = m CDE, then M CED = 2z
:
z + 2z = 90
:
3z = 90
:
z = 30
:
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m CED = 2 x 30 = 60 degrees
m CDE = 30 degrees
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