Question

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

Answer 1

Answer:

61°

Step-by-step explanation:

Use the sine law:

$\dfrac{MO}{\sin(\angle N)}=\dfrac{NM}{\sin(\angle O)}$

We have:

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

Substitute:

$\dfrac{18}{\sin(\angle N)}=\dfrac{6}{0.2924}$         cross multiply

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

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

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