Lines AB and CD are parallel. If angle 3 measures (2x + 14)°, and angle 4 measures 134°, what is the value of x?
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.
These are the given answer choices:
A: x = 134
B: x = 11
C: x = 16
D: x = 226
The value of x is:
B: x = 11