Answer:
98 degrees
Step-by-step explanation:
Since angle LON is a straight angle, that means its measure is 180 degrees. So, the two angles that make up angle LON add up to 180. You can create the following equation:
(3x + 89) + (8x + 58) = 180
Then, add like terms.
3x + 8x = 11x
89 + 58 = 147
11x + 147 = 180
Subtract 147 from both sides.
11x = 180 - 147
Add like terms.
11x = 33
Now, divide by 11 on both sides.
x = 3
Since we now have the value of x, we can plug it into the equation to find angle MON:
MON = 3x + 89
Substitute 3 for x
MON = 3(3) + 89
MON = 9 + 89
MON = 98
