M∠LONm, angle, L, O, N is a straight angle.

/qquad m / angle LOM = 7x - 92^/circm∠LOM=7x-92

∘

m, angle, L, O, M, equals, 7, x, minus, 92, degrees

/qquad m / angle MON = 6x + 12^/circm∠MON=6x+12

∘

m, angle, M, O, N, equals, 6, x, plus, 12, degrees

Find m/angle LOMm∠LOMm, angle, L, O, M:

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M∠LONm, angle, L, O, N is a straight angle./qquad m / angle LOM = 7x - 92^/circm∠LOM=7x-92∘m, angle, L, O, M, equals, 7, x, minus, 92, degrees/qquad m / angle MON = 6x + 12^/circm∠MON=6x+12∘m, angle, M, O, N, equals, 6, x, plus, 12, degreesFind m/angle LOMm∠LOMm, angle, L, O, M: