In the given fig. ,AB=AC and angleACD=105 find angle BAC
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To find:- /BAC
Proof :- /ACB + /ACD =180°[ Linear pair axiom]
=>/ACB +/105° =180°
=>/ACB=180°-105°
=>/ACB=75°
AB=AC [Given]
/ABC=/ACB=75° [Angles opposite to the equal sides of a triangle are equal]
/BAC+/ABC+/ACB=180°[Angle sum property of a triangle]
=>/BAC+75°+75°=180°
=>/BAC+150°=180°
=>/BAC=180°-150°
=>/BAC=30°
Therefore, /BAC=30°
HOPE THIS WILL HELP YOU with thanks.
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