Question

Given

Answer 1

Answer:

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)