Question

What is the m∠N ? Can someone help me :)

Answer 1

61°

Explanation:

Use the sine law:

`(MO)/(\sin(\angle N))=(NM)/(\sin(\angle O))`

We have:

`MO=18\\\\NM=6\\\\m\angle O=17^o\to\sin17^o\approx0.2924`

Substitute:

`(18)/(\sin(\angle N))=(6)/(0.2924)` cross multiply

`6\sin(\angle N)=(18)(0.2924)`

`6\sin(\angle N)=5.2632` divide both sides by 6

`\sin(\angle N)=0.8772\to m\angle N\approx61^o`