Question

In the following figure, Find value of X

Answer 1

here ,
AB=AC
if, B =55
A+B+C=100 (angle sum property)
x+55+x=100
2x+55=100
2x=100-55
2x=55
x=55/2
x=27.5

Answer 2

given - AB=AC
THEREFORE anABC=anACB
TO FIND -value of x
PROOF-as AB=AC
anABC=anACB=55
anADB+anADC=180[linear pair]
75+anADC=180
anADC=105

APPLY ANGLE SUM PROPERTY IN TRIANGLE ADC
anADC+anACB+anDAC=180
105+55+x=180
x=20