Question

What is the measure of ∠S ?

Answer 1

55 degrees that is the answer.

Answer 2

Alright, lets get started.

We could use sine law to find the remaining angle.

$\frac{sinA}{a} = \frac{sinB}{b}$

$\frac{sinS}{63.6} = \frac{sin64}{69.8}$

Plugging the value of sin 64

$\frac{sinS}{63.6} = \frac{0.8987}{69.8}$

$\frac{sinS}{63.6} = 0.01287$

Cross multiplying

sin S = 0.8189

Taking inverse on both side

$S = sin^{-1}(0.8189)$

S = 55° : Answer

Hope it will help :)