Question

How would I find angle GDE in this question?
https://gyazo.com/b2b66719d8651dc23db400b78af50923

Answer 1

It is equal to 1/2 the intercepted arc.

Answer 2

Arcs BA, AG and GF are in ratio 3:2:1

This means that for some constant k, we know

measure of arc BA = 3*k
measure of arc AG = 2*k
measure of arc GF = 1*k

The three arcs form a semi-circle. So they must add to 180 degrees

(measure of arc BA) + (measure of arc AG) + (measure of arc GF) = 180
3*k + 2*k + 1*k = 180

solve for k and tell me what you get

Answer 3

k is 20

Answer 4

I mean 30

Answer 5

So BA is 90
AG is 60
GF is 30

Answer 6

And DF is given to be 80 so what is the measure of arc DG?