angle ACE=90° and the ratio of angle A:ZB:ZC = 2:3:1. Find the value of ZDCE and ZACB. A E E С B
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as angle ACE=90
let the angle be x
A+B+C=180 (angle sum property of triangle)
2x+3x+1x=180
6x=180
x=180/6
x=30
so, A=2x=2x30=60
B=3x=3x30=90
C=1x=1x30=30
as angle ACB=30 degree
so, ACB+ACE+DCE=180 (linear pair)
30+90+DCE=180
120+DCE=180
DCE=180-120
DCE=60
therefore DCE=60 AND ACB=30
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