Question

Please help
If the m∠A is 33° and m∠D is 27°, determine the measure of the following:

Answer 1

See below

Explanation:

By inscribed angle theorem:

measure of intercepted arc is equal to twice the measure of its corresponding inscribed angle.

`\implies`

`arc\: AC = 2(27\degree) =\boxed{\purple{54\degree}}`

`arc\: BD = 2(33\degree) =\boxed{\red{66\degree}}`

`arc\: CB= 180\degree-(54\degree+66\degree)`

`\implies arc\: CB= 180\degree-120\degree`

`\implies arc\: CB= \boxed{\blue{60\degree}}`