Answer:
See below
Step-by-step explanation:
By inscribed angle theorem:
measure of intercepted arc is equal to twice the measure of its corresponding inscribed angle.
[tex]\implies[/tex]
[tex]arc\: AC = 2(27\degree) =\boxed{\purple{54\degree}}[/tex]
[tex]arc\: BD = 2(33\degree) =\boxed{\red{66\degree}}[/tex]
[tex]arc\: CB= 180\degree-(54\degree+66\degree)[/tex]
[tex]\implies arc\: CB= 180\degree-120\degree[/tex]
[tex]\implies arc\: CB= \boxed{\blue{60\degree}}[/tex]
