in the given figure, if AB=AC, then prove that.angle ABD= angle ACE
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48
Given:
AB=AC
To prove:
/_ABD=/_ACE
Proof:
AB=AC
•°•Angle ABC=ACB(isosceles triangle property)
ABD+ABC=180 (Linear pair)-EQ 1
ACE+ACB=180 (Linear pair)-EQ 2
From EQ 1 and 2 we know that
ABD+ABC=ACE+ACB
ABC=ACB(isosceles triangle property)
•°•ABD=ACE
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