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

whats the right answer

1 answer

To solve for x, we first note that the sum of angles in a right triangle is 90 degrees. Therefore, the two acute angles on the right side add up to 90 degrees:

32 + (2x - 12) = 90
2x + 20 = 90
2x = 70
x = 35

Therefore, the correct answer is A. x = 35.