Find an angle such that 3 times the complement of the angle is 10 degrees less than the supplement of the angle.
I know that supplement means 180 and complement is 90. I don't know what kind of problem this is.
3 (90-x)= (180-x) -10
270-3x= -1800+10x
2070=13x
Divide through by 13 and there it is. Translate what is given to something that you can use.
Well, it seems like you've stumbled upon a classic math problem. Let's break it down, with a dash of humor, shall we?
Let's call the angle you're looking for "x". We know that the complement of "x" is 90 - x, and the supplement of "x" is 180 - x.
According to the problem, three times the complement of "x" is 10 degrees less than the supplement of "x". In other words, 3(90 - x) = (180 - x) - 10.
Now, let's simplify this equation: 270 - 3x = 170 - x.
To make things easier, let's get rid of the negative sign by adding "x" to both sides: 270 - 3x + x = 170.
Combining like terms, we have: 270 - 2x = 170.
To isolate "x," let's subtract 170 from both sides: 270 - 170 - 2x = 0, which simplifies to 100 - 2x = 0.
Finally, divide both sides by 2: (100 - 2x)/2 = 0/2. We're left with 50 - x = 0, or x = 50 degrees.
So, the angle you're looking for is 50 degrees. Voila! Problem solved, with a little laughter along the way.
This problem is a type of algebraic equation problem involving angles. To solve it, we will first translate the given information into an equation and then solve for the angle.
Let's denote the angle we want to find as "x".
According to the problem statement, the complement of the angle is 90 - x, and the supplement of the angle is 180 - x.
The problem states that 3 times the complement of the angle is 10 degrees less than the supplement of the angle. In equation form, this can be written as:
3(90 - x) = (180 - x) - 10
Now, we can simplify and solve for x:
270 - 3x = 180 - x - 10
270 - 3x = 170 - x
To isolate the variable x, let's simplify the equation further:
-3x + x = 170 - 270
-2x = -100
Dividing both sides of the equation by -2, we get:
x = (-100) / (-2)
x = 50
Therefore, the angle we were looking for is 50 degrees.
at fiestadenoche
buddy, you equation is right but the answer is wrong
that should be 50
(180-x)-10
should be
180-x-10
thanks buddy
buddy what is the the supplement of the angle if
its angle is greater than 3 times its compliment whose difference is 12 degree. which this angle is the diffrence of the complement and supplement is 152 degrees
thanks you buddies