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Geometry 24 Online
OpenStudy (anonymous):

...

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

by the inscribed angle theorem, angle BAC is exactly half of angle BOC

jimthompson5910 (jim_thompson5910):

BAC = (1/2)*BOC BAC = (1/2)*60 BAC = 30 degrees

OpenStudy (anonymous):

can you help with this one too?

jimthompson5910 (jim_thompson5910):

sure

jimthompson5910 (jim_thompson5910):

one sec

jimthompson5910 (jim_thompson5910):

angle COA = 2*(angle ACB) angle COA = 2*(35) angle COA = 70 ------------------------ angle CEA = (1/2)*angle COA angle CEA = (1/2)*70 angle CEA = 35 ------------------------ arc CE + arc EAC = 360 arc CE + 278 = 360 arc CE = 360 - 278 arc CE = 82 --------------------- angle CAE = (1/2)*arc CE angle CAE = (1/2)*82 angle CAE = 41 -------------------- angle CAE + angle CEA + angle ACE = 180 41 + 35 + angle ACE = 180 76 + angle ACE = 180 angle ACE = 180 - 76 angle ACE = 104 ...ok that's a lot to take in, but I couldn't think of any easier way sadly

OpenStudy (anonymous):

OMG thank you so much!!!

jimthompson5910 (jim_thompson5910):

you're welcome, hopefully it all makes sense (or most of it does lol)

OpenStudy (anonymous):

haha yeah a lot of it makes sence

jimthompson5910 (jim_thompson5910):

ok great

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