Question

Please help ❤❤❤❤......​

Answer 1

Answer:

∠ LOM = 48°

Step-by-step explanation:

∠ LOM +∠ MON = 180 ( straight angle ), that is

7x - 92 + 6x + 12 = 180

13x - 80 = 180 ( add 80 to both sides )

13x = 260 ( divide both sides by 13 )

x = 20

Thus

∠ LOM = 7x - 92 = 7(20) - 92 = 140 - 92 = 48°

Answer 2

Answer:

48

Step-by-step explanation:

m<LON is a straight angle, therefore its measurement is 180°.

m<LOM + m<MON = 180 (add the two angles together because they are both on m<LON.

7x-92+6x+12=180

= 13x-80=180

+80 +80 (Isolate the variable)

13x=260

÷13 ÷13

x = 20

Next, plug the variable into 7x-92 to find the measurement of m<LOM.

7(20)-92

= 140-92

= 48