Question

Tangent FC and secant EB intersect at point D the point of tangecy. what is the measure of 13 years ago

Answer 1

Depends on where B and E are.
Also, are these lines tangent and secant of a circle?

Answer 2

they are secant

Answer 3

if we take a specific look at it:

say when ab is perp to the tangent; then the angle is half the intercepted arc i believe

Answer 4

works with this one as well

Answer 5

Is this what it looks like?

Answer 6

Will need clarification on the arc measures.

Answer 7

if thats an ellipse, i got no idea how to relate it ;)

Answer 8

I'm assuming it's a circle and can use the following theorem:
The angle between the secant and the tangent is half the arc subtended by the secant on that side.

Answer 9

lets assume it an ellipse. that would be so much funner

Answer 10

Yeah, we can do that, would have to adjust the central angle - inscribed angle theorem and the intersecting chords theorem (of which this is a special case), but it's doable.

Answer 11

i think kepler beat us to it :(

Answer 12

I don't have his notes handy unfortunately.

(It looks like arc BGD is 270º but it's hard to tell . . .)

Answer 13

.... good eye. I was reading it as 2>0

Answer 14

As long as I'm recalling that theorem correctly, the angle should be one-half of 270º