The supplement of an angle is 28degrees more than twice the complement of the angle. Find the supplement of the angle. Please help so confound!
let the angle be x
then the supplement is 180-x
and the complement is 90-x
180-x = 2(90-x) + 28
I get x = 28
so the supplement is 152
Omg Thanks i was really lost!
Let's assume the measure of the angle is denoted by "x" degrees.
The supplement of the angle is 180 - x degrees.
The complement of the angle is 90 - x degrees.
According to the problem, the supplement of the angle (180 - x) is 28 degrees more than twice the complement of the angle (2(90 - x)).
So we can set up the following equation:
180 - x = 2(90 - x) + 28
Let's solve this equation step-by-step:
1. Distribute the 2 on the right side:
180 - x = 180 - 2x + 28
2. Combine like terms on the right side:
180 - x = 208 - 2x
3. Add x to both sides to get rid of the -x on the right side:
180 = 208 - x
4. Subtract 208 from both sides to isolate the -x term:
180 - 208 = -x
5. Simplify the left side:
-28 = -x
6. Multiply both sides by -1 to solve for x:
28 = x
So the measure of the angle is x = 28 degrees.
Now, we can find the supplement of the angle:
Supplement of the angle = 180 - x
Supplement of the angle = 180 - 28
Supplement of the angle = 152 degrees
Therefore, the supplement of the angle is 152 degrees.
To find the supplement of an angle, we need to first understand some key concepts.
1. Complementary angles: Two angles are complementary if the sum of their measures is 90 degrees.
2. Supplementary angles: Two angles are supplementary if the sum of their measures is 180 degrees.
Let's break down the problem step by step:
Let the angle be x.
According to the problem statement, "The supplement of an angle is 28 degrees more than twice the complement of the angle."
The supplement of an angle is 180 - x, and the complement of an angle is 90 - x.
So, we can write the equation as:
180 - x = 2(90 - x) + 28
Now let's solve the equation to find the value of x:
180 - x = 180 - 2x + 28
Simplifying the equation:
-x = -2x + 28
Adding 2x to both sides:
x = 28
Therefore, the angle measures 28 degrees.
To find the supplement of the angle, we subtract the angle measure from 180:
Supplement = 180 - 28 = 152 degrees
So, the supplement of the angle is 152 degrees.