MathematicsFIll in the blanks:In the following figure, The value of x is ____

FIll in the blanks:


In the following figure, The value of x is ____


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    Solution:

    The correct answer is: Given: BAC= 40  and AB=AC  
    Now, ΔABC   is isosceles triangle, therefore, ABC=ACB  
    Sum of angles is 180, so
    ABC+ACB +BAC= 180 Given:ABC=ACB 2ABC+ 40 = 180 2ABC=140 ABC=70  
    ACD   is an exterior angle
    ACD=BAC+ABC  
    On substitution:
    x= 40 + 70 x= 110  
     
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