What is the value of the variables x y z Can you tell me ho

What is the value of the variables

x =

y=

z=

Can you tell me how to solve this aswell?

Solution

from the circle it is clear that the triangle is a isosclees triangle

angle x= angle z

in triangle x+z+40=180

x+x+40=180

2x=140

x=70

so z=70

now angle in a line =180

so y+z+60=180

y+70+60=180

y=180-130

y=50

hencex=70,y=50,z=70