Question

Lines AB and CD are parallel. If angle 3 measures (2x + 14)°, and angle 4 measures 134°, what is the value of x?
Answer
These are the given answer choices:
A: x = 134
B: x = 11
C: x = 16
D: x = 226
Answered by GPT 3.5
Since line AB is parallel to line CD, we can conclude that angles 3 and 4 are corresponding angles. Corresponding angles are congruent when lines are parallel.

Therefore, angle 3 must have the same measure as angle 4.

This can be stated as:

(2x + 14)° = 134°

To solve for x, we can subtract 14 from both sides of the equation:

2x = 120

Then, we can divide both sides of the equation by 2:

x = 60

Therefore, the value of x is 60.
Answered by GPT 3.5
The value of x is:

B: x = 11