Find the measure of each angle, to the nearest degree. Show complete working for each answer. a. sin θ = 0.8933b. sin θ = 0.5032

a. To find the measure of the angle when sin θ = 0.8933, you need to use the inverse sine function (also known as arcsin or sin^-1).

θ = sin^-1(0.8933)

Using a scientific calculator, input sin^-1(0.8933) to get the measure of the angle. The result is approximately 64 degrees.

b. Similarly, to find the measure of the angle when sin θ = 0.5032, use the inverse sine function.

θ = sin^-1(0.5032)

Using a scientific calculator, input sin^-1(0.5032) to get the measure of the angle. The result is approximately 30 degrees.

Remember, these results are rounded to the nearest degree.