A geometry problem

Geometry Level 3

A circle with center O O passes through points A A and C C and intersects the sides A B AB and B C BC of A B C \triangle ABC at points K K and N N , respectively. The circumcircles of triangles A B C \triangle ABC and K B N \triangle KBN meet at distinct points B B and M M . Find the measure of O M B \angle OMB ?


The answer is 90.

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1 solution

Rohit Singh
Feb 9, 2016

Nice problem, @Rohit Singh !

Drex Beckman - 5 years, 3 months ago

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@Drex Beckman , Thanks...can you solve it by using the concept of inverse of circle.

Rohit Singh - 5 years, 3 months ago

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