Given
\qquad \overline{OL}\perp\overline{ON}
OL
⊥
ON
start overline, O, L, end overline, \perp, start overline, O, N, end overline
\qquad m \angle LOM = 3x - 15^\circm∠LOM=3x−15
∘
m, angle, L, O, M, equals, 3, x, minus, 15, degrees
\qquad m \angle MON = 5x - 23^\circm∠MON=5x−23
∘
m, angle, M, O, N, equals, 5, x, minus, 23, degrees
Find m\angle MONm∠MONm, angle, M, O, N:

{}^{\circ}
∘
degrees

m∠MON=27

Step-by-step explanation:

From the diagram, we see that together m∠LOM and m∠MON form m∠LON, so

m∠LOM+ m∠MON=m∠LON

Since we are given that OL  ⊥  ON , we know m∠LON=90  

Substitute in the expressions that were given for each measure:

3x−15  + 5x−23  = 90  

Combine like terms:

8x - 38 = 90

Add 38 degrees to both sides:

8x = 128

Divide both sides by 8 to find x:

x = 16

Substitute 16 for x in the expression that was given for m∠MON:

m∠MON= 5(16) - 23

Simplify:

m∠MON  = 80 - 23

So m∠MON=57  

(took a while to decipher all the weird code from Khan Academy. Hope I was able to help)

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled

answer: 12

step-by-step explanation:

because yes