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Question

Triangles ABC and CDE are isosceles triangles, ACEF is a straight line. Find the value of y.
1258388_836eccca37554859947291d30608f7b8.png

Solution
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ABCandDCEisanisoceles traingle
DEC+DEF=180
DEC=180124
DEC=56o
DCE=DEC(since,DCEisanisocelet triangle)

BCA+BCD+DCE=180o
BCA+72+56o=180o
BCA=52o
In ABC
BAC=BCA (isoceles )
y+BAC+BCA=180o
y+52+52o=180o
y=76o


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