Given: Line AD diameter of Circle P.
If m Angle 1 = 40°, then m Arch AB =

a) 20
b) 40
c) 80

Question

Given: Line AD diameter of Circle P.
If m Angle 1 = 40°, then m Arch AB =

a) 20
b) 40
c) 80

anonymous · Answer

anonymous · Answer

The answer I put last time was 80

ybarrap · Answer

The Arch AB is spanned by the same angle as Angle 1, so they should be the same

anonymous · Answer

I thought that an angle is half the measure of the intercepted arch. So it's different for this?

ybarrap · Answer

You are thinking about the inscribed angle theorem
|dw:1435588031154:dw|

ybarrap · Answer

anonymous · Answer

Oh yeah. I've just been doing so much of that lately that I'm unknowingly applying it to everything. Lol

anonymous · Answer

Thanks for the link btw

ybarrap · Answer

Sometimes just need to take a breather and just enjoy the learning and don't worry so much about getting it right all the time.

:-)

ybarrap · Answer

You're welcome

anonymous · Answer

Thanks

anonymous · Answer

So the answer is 40?

ybarrap · Answer

Yes

anonymous · Answer

Thanks. You're a big help

ybarrap · Answer

BTW, earlier I wrote "Interior" Angle Theorem, I meant "Inscribed" Angle Theorem

anonymous · Answer

Oh. Lol

anonymous · Answer

I didn't even notice

ybarrap · Answer

Because I'm sure you knew what I meant -- good example of learning versus getting it right all the time.

anonymous · Answer

Yeah. Totally true

anonymous · Answer

Oh and I have another one. Could you help me with that to?

anonymous · Answer

Never mind