Answer:
x=8°
y= 96°
z= 96°
Explanation:
Solve for z first. The whole circle is 360° so if you only count half the angles it will add up to 180°.
Solve for z:
48+36+z=180°
84+z+180°
z=96°
Now that you have z you can solve for x by using only the bottom half of the circle.
z+36+6x=180° *remember z=96
96+36+6x=180
132+6x=180
6x=48
x=8°
Now you can solve for y by either plugging x into an equation or by knowing that opposite angles are equal.
y=96°