the measure of an angle that is 8 degrees less than 3 times its supplement???
A is the angle
180-A is the supplement.
x=(180-A)3 -8
Let's break down the information given:
Let's call the angle we want to find "x."
The supplement of an angle is the angle that, when added to the given angle, equals 180 degrees.
Given:
"The measure of an angle that is 8 degrees less than 3 times its supplement."
Step 1: Express the given information in an equation:
x = 3(180 - x) - 8
Step 2: Solve the equation to find the value of x:
Distribute the 3 on the right side:
x = 540 - 3x - 8
Combine like terms:
x + 3x = 540 - 8
4x = 532
Divide both sides by 4:
x = 532/4
x = 133 degrees
Therefore, the measure of the angle is 133 degrees.
To find the measure of an angle that is 8 degrees less than 3 times its supplement, we need to understand what the terms "angle", "supplement", and "measure" mean.
- An angle is a figure formed by two rays or lines that share a common endpoint, known as the vertex.
- The supplement of an angle is another angle that adds up to 180 degrees when combined with the original angle.
- The measure of an angle refers to the numerical value of the angle, typically given in degrees.
To solve this problem, we'll follow these steps:
Step 1: Set up the problem.
Step 2: Define the variables.
Step 3: Write an equation.
Step 4: Solve the equation.
Step 5: Find the measure of the angle.
Let's go through each step in detail:
Step 1: Set up the problem.
Since the problem asks for the measure of an angle, we can assume that the angle's measure is the unknown we are trying to find.
Step 2: Define the variables.
Let's assign a variable to represent the measure of the angle. We'll call it "x."
Step 3: Write an equation.
We are given that the angle is 8 degrees less than 3 times its supplement. Since the supplement of an angle adds up to 180 degrees with the angle itself, we can express this relationship as:
x = 3(180 - x) - 8
Step 4: Solve the equation.
Now, let's solve our equation step by step.
x = 3(180 - x) - 8
x = 540 - 3x - 8
x + 3x = 540 - 8
4x = 532
x = 532/4
x = 133
Step 5: Find the measure of the angle.
After solving the equation, we find that x = 133. Therefore, the measure of the angle is 133 degrees.
To summarize, the measure of an angle that is 8 degrees less than 3 times its supplement is 133 degrees.