anonymous
  • anonymous
Given: Line DR tangent to Circle O. If m Arch DB = 150°, then Angle A = a) 75 b) 105 c) 150
Geometry
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
https://suwannee.owschools.com/media/g_geo_2013/7/group179.gif
anonymous
  • anonymous
anonymous
  • anonymous

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anonymous
  • anonymous
anonymous
  • anonymous
Please somebody help
anonymous
  • anonymous
:(
anonymous
  • anonymous
Will Medal If answered!
phi
  • phi
arc DB is 150. any idea what arc BD (the long way ) is ? (notice together DB + BD is all the way round the circle)
anonymous
  • anonymous
Yeah and a circle is 360 degrees
anonymous
  • anonymous
So BD is 210 right?
anonymous
  • anonymous
But what about angle A?
phi
  • phi
yes. now use the idea that angle A is an inscribed angle |dw:1435583138900:dw|
phi
  • phi
if you learn one fact about circles, it is that inscribed angles are 1/2 of the "intercepted arc"
anonymous
  • anonymous
Oh okay
anonymous
  • anonymous
Then wouldn't it be 75?
anonymous
  • anonymous
No wait. I think that's wrong
phi
  • phi
1/2 of the intercepted arc, (the arc I showed with the squiggle line)
anonymous
  • anonymous
Oh then it's 105
phi
  • phi
Yes
anonymous
  • anonymous
Sorry I got a little confused
anonymous
  • anonymous
Thanks I really appreciate it so much!
phi
  • phi
yw

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