2000005909

SubArea: 
Circles
Level: 
B
Project ID: 
2000005909
Accepted: 
0
Clonable: 
0
Easy: 
1
The regular octagon \(ABCDEFGH\) is inscribed in the circle. Calculate the magnitudes of the interior angles of the chordal quadrilateral \(HBCF\). (See the picture.)
\( \alpha=90^{\circ}\); \( \beta=112.5^{\circ}\); \( \gamma=90^{\circ}\); \( \delta=67.5^{\circ}\)
\( \alpha=90^{\circ}\); \( \beta=67.5^{\circ}\); \( \gamma=90^{\circ}\); \( \delta=67.5^{\circ}\)
\( \alpha=90^{\circ}\); \( \beta=122.5^{\circ}\); \( \gamma=80^{\circ}\); \( \delta=67.5^{\circ}\)
\( \alpha=90^{\circ}\); \( \beta=67.5^{\circ}\); \( \gamma=90^{\circ}\); \( \delta=112.5^{\circ}\)