Lines AB and CD are parallel. If 6 measures (4x - 31)°, and 8 measures 111°, what is the value of x?
A.
x = 15
B.
x = 25
C.
x = 249
D.
x = 111
Since lines AB and CD are parallel, the alternate interior angles are congruent. Thus, 4x - 31° = 111°.
Adding 31° to both sides, we get 4x = 142°.
Dividing both sides by 4, we find that x = 35.5.
However, none of the answer choices provide this solution. Therefore, there may be a mistake in the problem or the answer choices.
it was 25
Apologies for the error. Let's solve the equation correctly:
Since lines AB and CD are parallel, the alternate interior angles are congruent. Thus, 4x - 31° = 111°.
Adding 31° to both sides, we get 4x = 142°.
Dividing both sides by 4, we find that x = 35.5.
However, none of the given answer choices, A, B, C, or D, match the solution x = 35.5.
Therefore, without any appropriate answer choice, it seems that there may be a mistake in the problem or the provided answer choices.