# In isosceles triangle ABC,AB=AC.the side BA is produced to D such that BA=AD.prove that:angleBCD=90degree

2
by karthikvp123

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by karthikvp123

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ab=ac=ad

then

angB=angACB=angACD=angD=X

WE KNOW THAT IN TRIANGLE PBC

X+2X+X=180

4X=180

X=45

THEREFORE

angc=x+x=2x=x*45=90

hence proved