In the diagram,M,N,R are points on the circle O.LORN=40°and LRNM =124°find LOMN.
To find the measure of angle LOMN, we need to first find the measure of angle LOR and then subtract it from 180°.
From LORN = 40° and LRNM = 124°, we can find the measure of angle LOR:
LOR = LORN + LRNM
LOR = 40° + 124°
LOR = 164°
Now, we can find the measure of angle LOMN:
LOMN = 180° - LOR
LOMN = 180° - 164°
LOMN = 16°
Therefore, the measure of angle LOMN is 16°.