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:
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
