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OpenStudy (anonymous):
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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
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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
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jimthompson5910 (jim_thompson5910):
ok great
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