SOLUTION: In the circle below, chord CD intersect chord AB at E http://i.imgur.com/4STGEkQ.jpg If the measure of angle BED= 50 degrees, what is the sum of measure of arc BC and measure

Algebra ->  Circles -> SOLUTION: In the circle below, chord CD intersect chord AB at E http://i.imgur.com/4STGEkQ.jpg If the measure of angle BED= 50 degrees, what is the sum of measure of arc BC and measure      Log On


   

Question 1042494: In the circle below, chord CD intersect chord AB at E
http://i.imgur.com/4STGEkQ.jpg
If the measure of angle BED= 50 degrees, what is the sum of measure of arc BC and measure of arc DA?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let arc AC have measure , and arc BD have measure , then angle BED has measure . But angle BED is also equal to , so



But the sum of arcs BC and DA is

So 360 minus 100 = 260.

John

My calculator said it, I believe it, that settles it