Solve for x . Round to the nearest tenth of a degree, if necessary.

x= 53.1

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin x = .4 / .5

Taking the inverse sin of each side

sin^-1 ( sin x) =sin ^-1(.4/.5)

x=53.13010235

To the nearest tenth

x= 53.1

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: