Look at this one: https://web2.0calc.com/questions/help_3554
It's the exact same question just instead of " 34 " it is a " 52 ."
Can you try to do it on your own first?
Then compare it with my answer.
vvv answer below vvv
minor arc YA = 180 - 34 = 128º
m∠YAC = (1/2)(128) = 73º