What is the measure of x in the triangle below? Round to the nearest degree.

scalene triangle:
side 1: 12
side 2: 18
vertex: 38°

please answer

1 answer

Using the Law of Cosines, we can solve for the missing angle:

cos(38°) = (12^2 + 18^2 - x^2) / (2 * 12 * 18)

0.7880 = (432 - x^2) / 432

339.216 = 432 - x^2

x^2 = 92.784

x ≈ 9.64

Therefore, the measure of x in the triangle is approximately 10 degrees.