Question

Fan & Medal

Answer 1

Are you there ybarrap

Answer 2

Use the Inscribed Angle Theorem

https://www.mathsisfun.com/geometry/circle-theorems.html

Use the fact that
$$
2\angle A=\text{Arc(B)}
$$

So,
$$
2\angle E =\text{Arc(HGF)}\\
2\angle G =\text{Arc(HEF)}\\
$$
The two arcs sum to 360 degrees because they go around once
$$
\text{Arc(HGF)}+\text{Arc(HEF)}=360
$$
Substitute and solve.

This shows that E and G are supplementary

You do this now for H and F

Answer 3

I'm not understanding this very well. GE and HF sum up to 360 so HF sums up to 180?

Answer 4

@ybarrap