Answer: 139 degrees
Step-by-step explanation:
First you must find the measure of each angle within the triangle.
82 + (9x-6) + (6x-1) = 180
15x + 75 = 180
15x = 105
x = 7
Plug 7 in for the value of x for the angle adjacent to angle 2
(6(7) - 1)
42-1
41 degrees
Now we know that supplemental angles equal 180 (to form a straight line). We can now calculate the measure of angle 2
180-41 = angle 2
angle 2 = 139 degrees
