Given up-pointing triangle△ABC, where A = 68degrees°, a = 6, and b = 9, find the measurement of angle B.There is at least one correct response. Choose all correct responses.

To find the measurement of angle B in triangle ABC, we can use the Law of Sines. The Law of Sines states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle.

Here's how you can apply it:

1. We know that angle A is 68 degrees, side a is 6, and side b is 9. We want to find angle B.

2. According to the Law of Sines, we have sin(A)/a = sin(B)/b.

3. Substituting the given values into the equation, we get sin(68)/6 = sin(B)/9.

4. To isolate sin(B), we can cross-multiply and get sin(B) = sin(68) * 9/6.

5. Now, we can use a calculator to find the value of sin(68), multiply it by 9/6, and then use the inverse sine function (also known as arcsin or sin^-1) to find the measure of angle B.

6. Please note that the arcsin function will give an answer in the first or fourth quadrant (between -90 and 90 degrees). Since we are dealing with a triangle, we know that the angle must be between 0 and 180 degrees. If the initial answer is negative, add 180 degrees to get the correct angle measure.

Remember to check that the sum of the angles in the triangle adds up to 180 degrees to ensure your answer is correct.