Olympiad problems

AND:

OR:

NO:

Found problems: 1

First
Previous
1
Next
Last

2018 Iranian Geometry Olympiad, 4

There are two circles with centers $O_1,O_2$ lie inside of circle $\omega$ and are tangent to it. Chord $AB$ of $\omega$ is tangent to these two circles such that they lie on opposite sides of this chord. Prove that $\angle O_1AO_2 + \angle O_1BO_2 > 90^\circ$. [i]Proposed by Iman Maghsoudi[/i]

First
Previous
1
Next
Last