Question

What is the measure of ∠S ?

Round your answer to the nearest degree.
19°
35°
55°
61°

Answer 1

55 degrees that is the answer.

Answer 2

Alright, lets get started.

We could use sine law to find the remaining angle.

`(sinA)/(a) = (sinB)/(b)`

`(sinS)/(63.6) = (sin64)/(69.8)`

Plugging the value of sin 64

`(sinS)/(63.6) = (0.8987)/(69.8)`

`(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 :)