In △xyz, m∠z = 34, x = 61 cm, and z = 42 cm. find m∠x. round your answer to the nearest tenth of a degree.

Using the law of the sine we have:
 (sine (34) / 42) = (sine (x) / 61)
 From here, we clear the value of x.
 We have then:
 sine (x) = (61/42) * (sine (34))
 We apply the inverse to both sides:
 Arcosine (sine (x)) = Arcosine ((61/42) * (sine (34)))
 We get then:
 x = Arcosine ((61/42) * (sine (34)))
 x = 54.3 degrees
 
 m∠X = 54.3

I'll say power property,final answer