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 make use of the fact that x and z are parallel lines. When two lines are parallel, any pair of corresponding angles formed by a transversal (a line intersecting the two parallel lines) are equal.
Given that 9 = (7x)° and 10 = (3x)°, we can deduce that these angles are corresponding angles. Therefore, we can set them equal to each other:
7x = 9
3x = 10
To find the value of x, we can solve for it in the first equation:
7x = 9
x = 9 / 7
Now that we know the value of x, we can substitute it into the second equation to find the measure of angle 10:
3x = 10
3(9 / 7) = 10
27 / 7 = 10
27 = 10 * 7
27 = 70
However, this leads to a contradiction since 27 cannot be equal to 70. Therefore, there is no value of x that satisfies the given equations, and we cannot determine the measure of angle 16 such that x || z.