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Find angle MON.

 

 Aug 3, 2020
 #1
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Straight line = 180

180 = 4x+30     +  8x+90         solve for 'x'  then   MON = 8x+90 o

 Aug 3, 2020
 #2
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So we know that angle LON is a straight angle. This means that angle LON is 180 degrees. 

 

We are given that angle LOM is equal to 4x+30 degrees. So, we know that the sum of LOM+MON= 180 degrees:

 

4x+30+8x+90=180

 

12x+120=180

 

12x=60

 

x=5

 

Now, we can substitute this in the equation for MON!

 

8x+90= 8(5)+90=40+90=130 degrees

 Aug 3, 2020

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