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upandover

OL is perpendicular to ON, which means that there is a 90 degree angle being created between these two line segments. So, angle LON is equal to 90 degrees. Because LON is a 90 degree angle and we have two angles within it, those two angles are complimentary. We can add LOM and MON together and they will equal 90 degrees.

3x - 15 + 5x - 23 = 90

8x - 38 = 90

8x = 128

x = 16 degrees

Angle MON = 5x - 23

5(16) - 23 = 57 degrees

Angle MON = 57 degrees

Hope this helps!! :)

Answer:

LOM 3x-15  Lets say x is 15 = 3x

3x= 45-15 = 30

MON, therefore 5x-23= 75-23=52

It is a right angle we want 8 more divided by 3+5=8/8

Lets say x is now 16

LOM 3x= 48  48-15 = 33  

MON 5x -23= 80 = 80-23= 57

Both angles add up to 90 degree making the right angle.

Step-by-step explanation:

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