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)
