Question

*Medal Will Be Awarded!*

Given: Line DR tangent to Circle O.
If m Ancle C = 63°, then m Angle BDR =

a) 63
b) 90
c) 126

Answer 1

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

Answer 2

B

Answer 3

How so?

Answer 4

Can You Show Me?

Answer 5

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

Answer 6

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

Answer 7

Oh

Answer 8

Thanks guys!

Answer 9

Appreciate it!

Answer 10

np

Answer 11

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

Answer 12

Yeah

Answer 13

so if C=63 what is angle BDR ?

Answer 14

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.

Answer 15

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)

Answer 16

so if C=63 what is angle BDR ?

Answer 17

90?

Answer 18

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

Answer 19

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)