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

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) (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

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