Question

Can somebody help me with this please? I've been stuck for a hot minute.

Answer 1

x=30

MO bisects LMN

so LMO = NMO

then LMO+NMO=LMN

Answer 2

x = 30, and the measure of NMO is 64°

Explanation:

Since MO bisects LMN, it follows that LMO is congruent to NMO, and the measure of LMN is twice the measure of LMO and of NMO. So we have:

`5x - 22 = 2(x + 34)`

`5x - 22 = 2x + 68`

`3x = 90`

`x = 30`

So the measure of NMO is equal to the measure of LMO:

`30 + 34 = 64`

LMO and NMO are 64°.