The supplement of an angle is 36 degrees less than twice the supplement of the complement of the angle. Find the measure of the supplement.

write algebraic equations to solve this one

the measure of the supplement of an angle is 36 lessthan the measure of the angle. find the measure of da angles

To solve this problem, let's first define the angle we are looking for as "x".

The supplement of an angle is defined as 180 degrees minus the angle.

So, the supplement of angle x is (180 - x) degrees.

The complement of an angle is defined as 90 degrees minus the angle.

So, the complement of angle x is (90 - x) degrees.

According to the given information, the supplement of angle x is 36 degrees less than twice the supplement of the complement of the angle. In equation form, this can be written as:

(180 - x) = 2 * (180 - (90 - x)) - 36

Let's simplify and solve for x:

180 - x = 2 * (180 - 90 + x) - 36
180 - x = 2 * (90 + x) - 36
180 - x = 180 + 2x - 36
-x - 2x = -36
-3x = -36
x = -36 / -3
x = 12

Now that we have found the value of angle x, we need to find the supplement of this angle:

Supplement of angle x = 180 - x
Supplement of angle x = 180 - 12
Supplement of angle x = 168

Therefore, the measure of the supplement is 168 degrees.