Twice the measure of the supplement of an angle is 39 degrees less than five times the complement of the angle. What is the measure of the angle? (Hint: Let 180 – x represent the supplement and 90 – x represent the complement.)

Twice the measure of the "supplement of an angle" is 39 degrees less than five times the "complement of the angle".

just translate it into "math"
2(180-x) = 5(90-x) - 39

solving for x , I got x=17

check: the supplement of 17 is 163
twice that 163 is 326
the complement of 17 is 73
5 times that complement is 365

by how much is 326 less than 365 ???
YEAH!

To solve this problem, we can follow these steps:

Step 1: Let's begin by understanding the problem. We are given that twice the measure of the supplement of an angle is 39 degrees less than five times the complement of the angle.

Step 2: Let's represent the angle as "x." According to the hint, the supplement of the angle would be 180 - x, and the complement of the angle would be 90 - x.

Step 3: Translate the given information into an equation. Twice the measure of the supplement of the angle is 39 degrees less than five times the complement of the angle can be mathematically expressed as:

2(180 - x) = 5(90 - x) - 39

Step 4: Simplify the equation by multiplying out the expressions on both sides:

360 - 2x = 450 - 5x - 39

Step 5: Combine like terms and simplify further:

360 - 2x = 411 - 5x

Step 6: To isolate the variable, let's bring all the "x" terms to one side of the equation:

-2x + 5x = 411 - 360

3x = 51

Step 7: Solve for x by dividing both sides of the equation by 3:

x = 51 / 3

x = 17

Step 8: Therefore, the measure of the angle is 17 degrees.