Consider an angle 117∘ less than twice its supplement. What is the angle?

Step 1: Let's denote the angle we're looking for as x.

Step 2: We know that the supplement of an angle is 180 degrees minus the angle itself. So, the supplement of x is 180 - x.

Step 3: According to the problem, the angle x is 117 degrees less than twice its supplement. We can write this as an equation: x = 2*(180 - x) - 117.

Step 4: Simplify the equation. Distribute the 2 to get x = 360 - 2x - 117.

Step 5: Combine like terms to get 3x = 243.

Step 6: Divide both sides by 3 to solve for x. x = 243 / 3 = 81.

So, the angle is 81 degrees.