Please help!

Find the measure of central angle YZU

Thank you!

To find the other angle on the right side do 180-108 to get 72. That angle and angle z are congruent because they are verticals angles so angle z is also 72 degrees. Now you have 2 measure for the left side of the circle. Add the 2 together (72+85) to get 157. To find the last missing angle subtract 157 from 180 and you get the measure of YZU=23 :)