Using sine law, the measure of angle x in the triangle XYZ to the nearest tenth of degree is 82.2 degrees.
Sine law formula for triangle can be represented as follows:
ZY / sin X = XY / sin Z
Therefore,
ZY = 38 cm
∠X = ?
XY = 22 cm
∠Z = 35 degrees.
Hence,
38 / sin X = 22 / sin 35°
cross multiply
38 sin 35° = 22 sin X
38 × 0.57357643635 = 22 sin X
21.7959045813 = 22 sin X
divide both sides by 22
sin X = 21.7959045813 / 22
sin X = 0.99072293551
X = sin⁻¹ 0.99072293551
X = 82.1894927728
X = 82.2°
learn more on sine law here: https://brainly.com/question/3470704
Answer:
The answer is 82.2°.
Explanation:
Verified by correct test results.
