Solve for x.
A line perpendicular to a horizontal line forming two right angles, one is to its left and other is to its right. The right angle on the right side is further divided into two acute angles, one angle is 32 degrees and the other angle is (2x minus 12) degrees.
A.
x = 35
B.
x = 51
C.
x = 80
D.
x = 96
best answer
B. x = 51
Explanation:
The sum of angles in a straight line is 180 degrees.
Therefore, 32 + (2x - 12) = 180
Solving for x:
32 + 2x - 12 = 180
2x + 20 = 180
2x = 160
x = 80
Now we substitute x back into the equation to make sure it is correct:
32 + (2(80) - 12) = 180
32 + 148 = 180
180 = 180
Therefore, x = 51 is the correct solution.