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
B. x = 51
Explanation:
Since the two acute angles form a right angle together, their sum must be 90 degrees.
So, 32 + (2x - 12) = 90
2x + 20 = 90
2x = 70
x = 35
Therefore, x = 35 * 2 = 70 + 12 = 82 ยบ
This means neither of the given answer choices are correct.