Given up-pointing triangle△ABC, where A = 68degrees°, a = 6, and b = 9, find the measurement of angle B.

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 three sides of the 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. Calculate the value of sin(B) using a calculator.

6. To find the measure of angle B, take the inverse sine (also known as arcsin) of the value obtained in step 5.

Remember to ensure your calculator is in degree mode when performing these calculations.