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.

M∠X = 54.3°.

Using the Law of Sines, we have:


Cross multiplying gives us
61(sin 34) = 42(sin X)

Divide both sides by 42:
(61(sin 34))/42 = (42(sin X))/42
(61(sin 34))/42 = sin X

Take the inverse sine of both sides:
sin⁻¹((61(sin 34))/42) = sin⁻¹(sin X)
54.3 = X