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 = 35B. x = 51C. x = 80D. x = 96
We know that the sum of the angles on a straight line is 180 degrees, and the sum of angles around a point is 360 degrees.
So, on the right side of the horizontal line, we have:
1. A right angle = 90 degrees
2. An angle of 32 degrees
3. An angle of (2x - 12) degrees
Therefore, the total sum of angles on the right side is:
90 + 32 + (2x - 12) = 180
122 + 2x - 12 = 180
2x + 110 = 180
2x = 70
x = 35
Therefore, x = 35, so the answer is:
A. x = 35