Question

In the adjoining figure AB=BC . Find the value of x and y

Answer 1

Angle CAB=Angle ACB = 65 (Angles opposite to equal sides are equal )

Angle CAB +Angle ACB +Angle CBA = 180 (Triangle ABC)

=65+65+y =180

=y+130=180

=y=180-130

=y=50

________________________________________________________________________

Angle ACB +Angle ACD=180(linear pair)

=65+Angle ACD=180

=Angle ACD=180-65

=Angle ACD= 115

________________________________________________________________________

Angle DAC+Angle ACD+Angle ADC=180 (triangle ADC)

=50+115+x=180

=x+165=180

=x=15