Question

What is the measure of angle X?

Answer 1

By law of sines, we can derive the equation sin(x)=84/85 in order to solve. If we simplify this, we would get sin(x)=.988... Then, we would take the inverse sine to cancel out the sine and have x on it's own, so the equation would be
`sin^(-1)(.988)`=x. Thus, we can find the answer which is 81.2 degrees.