finals next weekk D:
ten less than three times the complement of an angle is it supplement.
find the measure of the supplement?
Write that as an equation. Let x be "the angle", so 180 -x will be the supplement.
The complement of x is 90-x
Your statement can be written:
3*(90 - x) -10 = 180 - x
Now solve that.
260 -3x = 180 - x
2x = 80
x = 40
So, what is the supplement of x?
supplement of x is 140?
To find the measure of the supplement of an angle, we first need to understand what a complement and a supplement are.
A complement of an angle is the angle that, when added to the given angle, equals 90 degrees. So, if we have an angle x, its complement is 90 - x degrees.
A supplement of an angle is the angle that, when added to the given angle, equals 180 degrees. So, if we have an angle x, its supplement is 180 - x degrees.
Now, let's solve the given problem step by step:
Let's assume the given angle is A.
Ten less than three times the complement of angle A can be expressed as:
3 * (90 - A) - 10
According to the problem, this expression equals the supplement of angle A, which is 180 - A.
Now we can set up an equation and solve for A:
3 * (90 - A) - 10 = 180 - A
First, distribute the 3:
270 - 3A - 10 = 180 - A
Combine like terms:
260 - 3A = 180 - A
Now, isolate the variables on one side:
-3A + A = 180 - 260
-2A = -80
Divide both sides by -2:
A = -80 / -2
A = 40
So, the measure of the given angle A is 40 degrees.
To find the measure of the supplement of angle A, we subtract 40 from 180:
Supplement of A = 180 - 40 = 140 degrees.
Therefore, the measure of the supplement of the angle is 140 degrees.