Question

Lines AB and CD are parallel. If 6 measures (2x - 32)°, and 8 measures 162°, what is the value of x?
A.
x = 162
B.
x = 25
C.
x = 15
D.
x = 198

Answer 1

To find the value of x, we have to set up an equation based on the fact that angles that are corresponding on parallel lines are equal.

Given:
Angle 6 = (2x-32)°
Angle 8 = 162°

Since Line AB and CD are parallel, angles 6 and 8 are corresponding angles. Therefore:
(2x-32) = 162

Now solve for x:
2x - 32 = 162
2x = 162 + 32
2x = 194
x = 194 / 2
x = 97

So, the value of x is 97.

Answer 2

You got it wrong

Answer 3

Apologies for the mistake. Let's correct it:

Since lines AB and CD are parallel and angle 6 and angle 8 are corresponding angles, we can set them equal to each other:
2x - 32 = 162

Now, solve for x:
2x = 162 + 32
2x = 194
x = 194 / 2
x = 97

Therefore, the correct value of x is 97. So, the correct answer choice is not listed as part of the options provided.