Question 211368
Let the angle be A, its complement is (90-A) and its supplement is (180-A), then:
{{{90-A = (1/6)(180-A)-5}}} Simplify and solve for A.  Add 5 to both sides.
{{{95-A = (1/6)(180-A)}}} Multiply both sides by 6.
{{{570-6A = 180-A}}} Add 6A to both sides.
{{{570 = 180+5A}}} Subtract 180 from both sides.
{{{390 = 5A}}} Divide both sides by 5.
{{{78 = A}}}
The angle is 78 degrees.