will someone that is good with circles please help me with this question
In the following figure, segments AG and BC are parallel. If angle G measures 110 degrees, which is the measure of arc AGC?

Answer 180 degrees
170 degrees
150 degrees
140 degrees

Question

will someone that is good with circles please help me with this question  
In the following figure, segments AG and BC are parallel. If angle G measures 110 degrees, which is the measure of arc AGC?

Answer    180 degrees 
   170 degrees 
   150 degrees 
   140 degrees

anonymous · Answer

attachment

anonymous · Answer

Singe angle G and opposite angle (angle B) are supplementary than the two angles must add up to 180. So if G is 110 than Angle B must be 70. Furthermore, by a theroem (i forgot the name) the arc length is twice that of the opposite angle. So, by all this we can conclude that since Angle B is opposite of arc AGC, then AGC must be twice the number 70. So, the answer is 140.

anonymous · Answer

can you help me on my next couple of examples