Lines AB and CD are parallel. If 1 measures (3x + 13)°, and 4 measures 148°, what is the value of x?
If lines AB and CD are parallel, then the corresponding angles are congruent.
Therefore, angle 1 is congruent to angle 4.
Since 1 measures (3x + 13)° and 4 measures 148°, we can set up an equation:
(3x + 13)° = 148°.
Simplifying the equation, we get:
3x + 13 = 148.
Subtracting 13 from both sides, we have:
3x = 135.
Finally, dividing both sides by 3, we find:
x = 45.
Therefore, the value of x is 45.