Use an algebraic equation to find the measures of the two angles described below. Begin by letting x represent the degree measure of the​ angle's supplement.

The measure of the angle is two times greater than its supplement.What is the measure of the​ supplement?

Supplementary angles are two angles that have a sum of 180°

θ = your angle

The supplementary angle is x as stated in the problem so:

θ + x = 180°

x = 180°- θ

The measure of the angle is two times greater than its supplement means:

θ = 2 x

Replace this value in equation:

x = 180°- θ

x = 180°- 2 x

Add 2 x to both sides

3 x = 180°

x = 180° / 3 = 60°

Let's use algebraic equations to solve the problem.

Let x be the degree measure of the angle's supplement.

According to the given information, the measure of the angle is two times greater than its supplement, so the angle is 2x.

Since an angle and its supplement add up to 180 degrees, we can write the equation:

x + 2x = 180

Combining like terms, we get:

3x = 180

Now, we can solve for x by dividing both sides of the equation by 3:

x = 180/3

x = 60

The measure of the supplement is x, so the measure of the supplement is 60 degrees.

To find the measure of the supplement, let's set up an equation based on the given information.

Let x represent the degree measure of the angle's supplement.

According to the problem, the measure of the angle is two times greater than its supplement. This can be expressed as:

Angle = 2 * Supplement

Since the angle is defined as two times the supplement, we can substitute "x" for "Supplement" in the equation:

Angle = 2x

Since the sum of an angle and its supplement is always 180 degrees, we can set up the following equation:

Angle + Supplement = 180

Substituting the values we have:

2x + x = 180

Combining like terms, we get:

3x = 180

Now, divide both sides by 3 to solve for x:

x = 180 / 3
x = 60

So the supplement is 60 degrees.

OR

θ = your angle

x = suplrment

θ = 2 x

θ + x = 180°

2 x + x = 180°

3 x = 180°

x = 180° / 3 = 60°