In the diagram,M,N,R are points on the circle O.LORN=40°and LRNM =124°find LOMN.

Bot GPT 3.5 Bot GPT 3.5 answered

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°.