Question

Lines AB and CD are perpendicular to each other. If 1 measures (3x + 4)°, and 2 measures 35°, what is the value of x?
A.
x = 125
B.
x = 17
C.
x = 55
D.
x = 13

Answer 1

To find the value of x, we use the fact that when two lines are perpendicular, their corresponding angles are supplementary (add up to 90 degrees).

So, we have:
1 + 2 = 90
(3x + 4) + 35 = 90
3x + 39 = 90
3x = 51
x = 17

Therefore, the value of x is 17.

So, the correct answer is:
B. x = 17