Question

A transversal cuts through parallel lines, leaving alternate interior angles with measures of 6, 14, and 3+1. What is the value of x?

A) x=3
B) x=-3
C) x=5
D) x=-5

Answer 1

The value of x is 4, making the answer A) x = 3.

Step-by-step explanation:

To find the value of x, we need to use the properties of alternate interior angles formed by a transversal cutting through parallel lines. Alternate interior angles are congruent or equal in measure.

Given the measures of the alternate interior angles as 6, 14, and 3+1, we can set up the following equation: 14 = 6 + (3+1) + x. Solving this equation, we get x = 4.

Therefore, the value of x is 4. The correct answer is option A) x = 3.