Math question I don't get.?

Question

Okay, here's the problem

I mean, I can solve it if I can understand what it means

Okay, so the problem says

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

I set it up as

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

is it set up correctly

please help me :[

Answer 1

no idea

Answer 2

To make the confusing word problem easier let's introduce 4 variables to describe the various supplements and complements.

Let's start with the angle x

Now the supplemet of this angle is y so:

x+y=180

y=180-x

Now let's call the complemet of the angle x as a new variable z

z+x=90

z=90-x

Now this problem also calls for the supplement of the complement of the angle meaning the supplement of z.

Let's call this variable s

z+s=180

s=180-z

Now we can set up the equation

The supplemet of an angle meaning our new variable y

is 36 degrees less than twice the supplement of the complement of the angle meaning is twice the supplement of z which we named s

y=2s-36

Recall that s= 180-z

y=2(180-z)-36

Now recall that z=90-x

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

and finaly y=180-x

So the final equation is

180-x=2[180-(90-x)]-36

I'm sure you know how to solve that.

Good Luck!

Answer 3

Close!

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

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

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

180 - x = 180 + 2x - 36

180 - x = 144 + 2x

180 = 144 + 3x

36 = 3x

x = 12

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