Question

find the value of the unknown X and y in the following diagram

Answer 1

Y = x (voa)

X + X + X = 180

3X = 180

X = 60

Y = 60 ( since X = Y )

Answer 2

y=x (vertically opposite angle).........(1)
simliarly above x will be equal to y
and same in left side this will form a equilateral triangle
sum of all angles in triangle =180
y+y+y = 180
3y=180
y =180/3
y=60
y=x......( from 1)
x=60