Answer:
The answer to your question is: m∠LOM = 44°
Step-by-step explanation:
Data
m< LOM = 3x +38
m< MON= 9x+28
m< LOM = ?
Process
They are complementary angles
m∠LOM + m∠MON = 90°
3x + 38 + 9x + 28 = 90°
12x + 66 = 90°
12x = 90 - 66
12x = 24
x = 24/12
x = 2
m∠LOM = 3(2) + 38
= 6 + 38
= 44°
m∠ MON = 9(2) + 28
m∠MON = 18 + 28
m∠MON = 46°
