What is the measure of Arc DE?
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Question

What is the measure of Arc DE?
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anonymous · Answer

Will award medal!

anonymous · Answer

uggghhh trying to solve i have the basic idea just need to find some numbers

anonymous · Answer

ok I'm done let me explain this

anonymous · Answer

?  XD

anonymous · Answer

since 51 is a circumscribed angle, arc BE is 2*5, or 102.
102-72=30, and 180-30 is 150, or arc AC.
that means angle D is half, or 75. since ABCD is circumscribable, opposite angles are supplementary and B is 105. 105*2=210=arc ADC, and
210-30(arc AE)-112=68, so half of that is 34 which is the answer.

34

anonymous · Answer

68
	51
	56
	85
These are the only answer choices

anonymous · Answer

i found angle of it
i dint have to do that last step so the answer=68

anonymous · Answer

68 is the answer i just did one extra step

anonymous · Answer

Thanks!

mathstudent55 · Answer

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mathstudent55 · Answer

This is a very simple problem with lots of extra info to make it look complicated.
Because segment CE is a diameter, arc CDE measures 180 deg.
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