Question

PLEASE ANSWER ASAP!!!!!!!!!!!!!

Answer 1

44

Explanation:

Angle MON + angles LOM = 90

So, 3x + 38 + 9x + 28 = 90

12x + 66 = 90

12x = 24

x = 12

So, LOM = 3x + 38(substitute) = 44

Hope this helps

Answer 2

Hey there! :)

Answer:

m∠LOM = 44°

Explanation:

OL ⊥ ON, therefore:

m∠LOM + m∠MON = 90°.

Solve:

3x + 38 + 9x + 28 = 90°

Combine like terms:

12x + 66 = 90°

Subtract both sides by 66:

12x = 24°

x = 2°

Plug in x into the equation for m∠LOM:

m∠LOM = 3(2) + 38

m∠LOM = 6 + 38

m∠LOM = 44°