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Given: Line DR tangent to Circle O.
If m Ancle C = 63°, then m Angle BDR =
a) 63
b) 90
c) 126

- anonymous

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- jamiebookeater

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- anonymous

https://suwannee.owschools.com/media/g_geo_2013/7/group179.gif

- anonymous

B

- anonymous

How so?

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## More answers

- anonymous

Can You Show Me?

- anonymous

I had this same question on a test and I guessed and got it right!

- phi

It may not be obvious but both angle C and angle BDR have the *same intercepted arc*

- anonymous

Oh

- anonymous

Thanks guys!

- anonymous

Appreciate it!

- anonymous

np

- phi

If inscribed angles have the same arc, then they are both 1/2 of that arc.
they both are equal to the same value.

- anonymous

Yeah

- phi

so if C=63 what is angle BDR ?

- anonymous

But sometimes it gets a little confusing because looks like it's not actually intercepting the arch and is just running straight through. That's usually what stumps me.

- phi

Yes, the tangent is a special case. But we (or somebody) can prove the angle BDR equals 1/2 of the arc from B to D the short way (through A)

- phi

so if C=63 what is angle BDR ?

- anonymous

90?

- anonymous

Oh it should actually be 63 right?And not 90?

- phi

I guess you are missing the point.
Do you agree that angle C is 1/2 of its intercepted arc (which is from B to D the short way)
|dw:1435584558053:dw|

- phi

and (a bit mysterious but true)
|dw:1435584627499:dw|

- phi

so if both angle C and angle BDR = 1/2 arc BD, then angle C must equal angle BDR

- anonymous

Huh. Wow. Well I guess I'm awake now

- anonymous

So it is 63

- phi

yes

- anonymous

Wow

- anonymous

Mind Blown Lol

- phi

It is the only reason we bother to learn this stuff... to see how it is possible to take "simple facts" and deduce stuff that is totally not obvious. The more you do of this, the better you are able to "think" (make logical deductions). but it takes practice to get your brain to do it.

- anonymous

Yea I know. I found Algebra a heck of a lot easier than Geometry. Many other people argue saying that Geometry is "Easy As Pie", but I disagree

- anonymous

What I trying to do is get help with all of these questions that I missed on this test so I can find out where in the world I went wrong with them. I'm not just here for answers. I Need "Explanations" too.

- phi

Yes, geometry can be painful to learn. But it's worth tackling just to get used to thinking hard.

- anonymous

Yeah, I agree. I used to think the same way about Punnet Squares, but now I'm almost like a pro! Lol

- anonymous

Would you mind helping me with a few more?

- anonymous

I'll give you medals and fan you too

- phi

please make a new post.

- anonymous

I will

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