Question

Find the value of x and y from the figure​

Answer 1

Answer:

The value of x is 60 degree and the value of y is 18 degree

Answer 2

Answer:

Let Angle AOB = 120degree & Angle CED = x degree

Also, OB is parallel to ED (Given) & AC is a transversal

So, Angle AOB = Angle CED = 120 degree ( Corresponding Angles)

Hence, x = 120 degree

Let Angle FGE = (3y+6) degree

& AC is parallel to GF (Given)

So, EC is parallel to GF & GD is a transversal

Therefore, Angle CED = Angle FGE  (Corresponding Angles)

SO,  x = (3y+6)degree

120  = 3y+6

120-6 = 3y

114 = 3y

114/3 = y

So, y = 38 degree

Hence, x = 120degree

& y = 38degree