Q:

The diagram above contains contradictory information. Explain the contradiction.A. Since Hence,–x-30+5x-30=180.When you solve for x, your answer is x = 60.mThe measurement of an angle cannot be a negative number for this problem.B. Since Hence, ,–x-30=5x-30.When you solve for x, you get x = 0.This would make mThe measurement of an angle cannot be 0° for this problem.C. Since Hence, ,–x-30+5x-30=180.When you solve for x, you get x = 60. This would make mThe measurement of an angle cannot be a negative number for this problem.D. Since and are alternate interior angles, they are congruent. Hence, ,–x-30=5x-30.When you solve for x, you get x = 0.This would make mThe measurement of an angle cannot be a negative number for this problem.

Accepted Solution

A:
Since these are alternate interior angles, they should be congruent. Equating the measures given:
-x - 30 = 5x - 30
x = 0
However, this is not true, since the diagram clearly shows that there is a positive angle between them.
The best answer is choice B.