If the measure of DEF is 76, what is the measure of DE?

Question

anonymous · Answer

@jim_thompson5910 @Mertsj @Jonask

jim_thompson5910 · Answer

is this the wrong picture?

anonymous · Answer

no :)

jim_thompson5910 · Answer

you mention DEF, but points D, E, or F are not in the picture

anonymous · Answer

OH omygosh Iam sooo sorry xD I didn't mean to put that lol

jim_thompson5910 · Answer

that's fine, so the actual problem is just what we see in the pic?

anonymous · Answer

Yeah!! lol @jim_thompson5910 that's the correct one

anonymous · Answer

I subtracted then divided

jim_thompson5910 · Answer

we're using the same formula from a few problems ago

(m greater arc XZ - m lesser arc XZ)/2 = angle XYZ

(230 - q)/2 = 50

230 - q = 50*2

230 - q = 100

q = ???

anonymous · Answer

I got 130?

jim_thompson5910 · Answer

same here

sirm3d · Answer

another way to look at the problem is that 1 complete circle measures 360 degrees. the major arc is 230 degrees, so the minor arc is what's left from 360 degrees.

anonymous · Answer

Okay thank you so much!! I have another simular question to this coming up :)