6.0/sin M = 10.0/sin 72

6.0/sin M = 10.0/sin 72

6.0/sin M = 10.0/sin 72,

Sin(72)=0.9510565

6.0/sin M = 10.0/0.9510565

6.0/sin(M)=10.514622 cross multiply

6.0=10.514622 x sin(M) divide both sides by 10.514622.

Sin(M)=0.5706339

M=~34.79 degrees.

$\frac{6}{sin M}= \frac{10}{sin72}$

$M=asin[6(\frac{sin72}{10})]$

which is about 34.79 degrees