geometry

I would start this problem except GN does not appear anywhere in the given diagram.

QN=5x+36 and QM=2x+51. what is QO

QN, QM, and QO are inradii of a triangle JKL

5x + 36 = 2x +51         x = 5

QO = 5x + 36 = 61 

or

QO = 2x + 51 = 61