in the given triangle ABC, BC is produced to D. BF and FC are the bisectors of angle ABC and angle ACD. If angle BAC is equal to 70 degree and EF = EC, then the measure of angle C is equal to ?
1) 80 degree
2) 55 degree
3)110 degree
4) 75 degree
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ans will be angle c is 55 degree as if the altitude or bisector are equal of two sides the two sides will be equal so as it is isosceles triangle b equals to c and angle a is 70 degree so b and c equal to 180-70 which is 110 degree angle b equals to c so 2c equals to 110 degree so angle c is 55 degree
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