## nincompoop one year ago establishing a proof for angle formed in a circle by intercepting chords

1. misssunshinexxoxo

Following.

2. nincompoop

summoning the math gods and goddesses of OS

3. nincompoop

|dw:1437335161096:dw|

4. misssunshinexxoxo

@campbell_st

5. nincompoop

@kainui @waterineyes @Michele_Laino

6. anonymous

I'm pretty certain you can look up the proofs online

7. Michele_Laino

what is the statement which we have to demonstrate?

8. nincompoop

|dw:1437335345728:dw|

9. Michele_Laino

vertical angles are congruent each other: |dw:1437335987601:dw|

10. nincompoop

correct

11. nincompoop

suppose we are given not the magnitudes of the chords but the angles of a and b how do we approach this?

12. nincompoop

to figure out x or F

13. Michele_Laino

is F the intersection point? right?

14. nincompoop

correct

15. Michele_Laino

I'm sorry I don't know

16. Michele_Laino

I think that we have to know at least one distance

17. Michele_Laino

for example the subsequent drawings have the same angles x |dw:1437337081389:dw|

18. Michele_Laino

so the position of point F is not determined uniquely

19. nincompoop

can we establish that $$\large \frac{\bar {ED}}{\bar {GH}} = \frac{\bar {AF}}{\bar {FE}}$$ and $$\bar {EF} \times \bar {FG} = \bar{DF} \times \bar {FH}$$ then we can use some trig identities perhaps