Answer the following question please

∠MON = 98°

Step-by-step explanation:

It is given that ∠LON is a straight line.

∠MON = 3x+89

and

∠LOM = 8x+58

If LON is a straight line. It means,

∠MON + ∠LOM = 180 (Linear pair)

Putting values,

3x+89 + 8x+58 = 180

11x + 147 = 180

11x = 180-147

11x = 33

x = 3

So, ∠MON = 3(3)+89

= 9+89

= 98

Hence, the value of ∠MON is equal to 98°.

312312

step-by-step explanation: