find the measure of an angle whose supplement measures two times its measure
x=60
x = 1st angle
2x = 2nd angle
x + 2x = 180
Solve for x
Let's call the measure of the angle "x".
According to the problem, the supplement of this angle measures two times its measure.
The supplement of an angle is the angle that, when added to the given angle, forms a straight line, which is 180 degrees.
So, the supplement of the angle is 180 - x.
According to the given information, the supplement measures two times the angle, which can be represented as:
180 - x = 2x
To solve this equation, we can isolate x by adding x to both sides:
180 - x + x = 2x + x
Simplifying this equation, we get:
180 = 3x
Now, we divide both sides by 3 to solve for x:
180/3 = 3x/3
60 = x
Therefore, the measure of the angle is 60 degrees.
To find the measure of an angle whose supplement measures two times its measure, we can set up an equation.
Let's say the measure of the angle is x degrees. Its supplement would then be 180 - x degrees (since the sum of an angle and its supplement is 180 degrees).
According to the given information, the supplement measures two times the measure of the angle. This can be written as:
180 - x = 2x
Now we can solve this equation to find the value of x.
First, simplify the equation by combining like terms:
180 = 3x
Next, isolate x by dividing both sides of the equation by 3:
x = 180/3
x = 60
Therefore, the measure of the angle is 60 degrees.