Question

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.
m The 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 m The 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 m The 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 m The measurement of an angle cannot be a negative number for this problem.

Answer 1

Either A or D

Explanation:

Both B and C don't work so try these 2

Answer 2

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.