Question

what is the measure of angle Y ?

Answer 1

so the angle on the left of the 120 will be 60 , because this is a staight line so 180-120=60
thats what I got so far

Answer 2

good
and tangents are perpendicular to radius

Answer 3

meaning this angle is 90

Answer 4

so I have 60 and 90 and since all angles of the triangle should equal 180
so I have 180- (60+90) = y
so 180-150 = 30
so Y=30
correct ?

Answer 5

absolutely correct again! :)
you're smart!

Answer 6

thanks for your helpful tip @hartnn :)