FLVSKidd one year ago Fan & Medal

1. FLVSKidd

2. FLVSKidd

Are you there ybarrap

3. ybarrap

Use the Inscribed Angle Theorem |dw:1434074532155:dw| 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

4. FLVSKidd

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

5. FLVSKidd

@ybarrap

6. ybarrap

|dw:1434075832420:dw|

7. ybarrap

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8. ybarrap

Here is another way to see this - http://www.geom.uiuc.edu/~dwiggins/conj44.html

9. FLVSKidd