olve for x.

Question

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

Answer 1

We know that the sum of the angles in a triangle is 180 degrees, so we can set up an equation to solve for x:

(2x - 12) + 32 + 90 = 180
2x - 12 + 32 + 90 = 180
2x + 110 = 180
2x = 70
x = 35

Therefore, the correct answer is:

A. x = 35