Geometry please help

Question

If the measures of angles 1 and 3 are 35^o each, what is the measure of ?

120

110

90

75

None of these

Answer 1

Hi,

you see the angle APD is 180 degree and you know two parts of this angle are <CPD = <APB = 35

< CPB = 180 - ( 35 + 35 ) = 110 and the other hand this angle is central angle that it is equal front arc.

As a result arc BC = 110

I hope it is useful,

Minoo