When two parallel lines are cut by a transversal, and are a pair of alternate interior angles formed. If and , find x .
A)x = 5
B)x = 6
C)x = 7
D)x = 8

Question

When two parallel lines are cut by a transversal,  and  are a pair of alternate interior angles formed. If  and  , find x .
A)x = 5 
B)x = 6 
C)x = 7 
D)x = 8

Quizplus · Accepted Answer

Since the two given angles are alternate interior angles, we know they are congruent. Therefore, we can set up the equation:
2x - 4 = 3x - 7
Simplifying, we get:
x = 3 + 4 = 7
Therefore, the answer is choice C.

When Two Parallel Lines Are Cut by a Transversal