Answer:
D) 12
Explanation:
- We see that lines m and l create a right angle, which measures 90°.
The diagonal line that cuts the right angle into two angles including:
- the 44° angle,
- and the (4x - 2)° angle.
Thus, we can set the sum of the two angles equal to 90 to find the value of x that verifies that line l is perpendicular to line m:
44 + 4x - 2 = 90
(42 + 4x = 90) - 42
(4x = 48) / 4
x = 12
Thus, 12 is the value of x that makes line l perpendicular to line m.