If 9 = (7x)° and 10 = (3x)°, what is the measure of 16 such that x || z?

To find the measure of angle 16, we need to use the concept of corresponding angles and parallel lines.

When two lines are parallel, any pair of corresponding angles are congruent. In this case, we have two pairs of corresponding angles: angles 9 and 16, and angles 10 and 16.

Given that 9 is equal to (7x)° and 10 is equal to (3x)°, we can set up the following equations:

9 = (7x)°
10 = (3x)°

Now, since angles 9 and 16 are corresponding angles, they must be congruent. So we can set up the equation:

9 = 16°

Solving this equation will give us the measure of angle 16.

To isolate the variable, we can subtract 9 from both sides:

16° - 9 = 0

Simplifying, we get:

7 = 0

However, this equation is not true. Therefore, there is no valid measure for angle 16 that satisfies the given conditions x || z.