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Ipatiy [6.2K]
3 years ago
7

Will give Brainliest!!!

Mathematics
1 answer:
Sergio039 [100]3 years ago
3 0

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

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