Answer:
z=65,y=65,x=50
Step-by-step explanation:
Firstly, let's identify the only angle provided. The angle is an exterior angle.
The exterior angle theorm states that greater than either of the measures of the remote interior angles.
Let's remember that and start solving!
The exterior angle and x form a supplimentary line which means they create 180 degrees.
130+x=180
x=50
Now by the theorm the sum of z+y should be equal to the exterior angle which is 130.
Simply, z+y=130.
So z is equal to 65, and y is equal to 65.
Let's check our answers now.
z=65,y=65,x=50
z+x+y=180
65+50+65=180! That works :)
Hope it helps! :))