So these 2 angles equal 180 degrees.
Angle 1 + Angle 2 = 180 degrees.
The problem tells us that angle 1 is 6x, and angle 2 is (x+26).
Substitute those into our equation.
6x + (x+26) = 180.
Now let's solve for x.
7x + 26 = 180
7x = 154
x = 22
Now go back and substitute x=22 into the info we were given.
Angle 1 = 6x = 6(22) = 132 degrees.
Angle 2 = (x+26) = (22+26) = 48 degrees.
Let's do a quick check - - - angle 1 and angle 2 should add to 180!
132 + 48 = 180.