(2x+3)degrees, (x-6) degrees

open paren 2 x plus 3 close paren plus open paren x minus 6 close paren is equal to 180

can you explain how?

Certainly!

To determine the measure of two adjacent angles, we need to set up an equation based on the given information.

The first angle is represented by (2x + 3) degrees and the second angle is represented by (x - 6) degrees.

The measure of two adjacent angles is equal to the sum of their measures. Thus, we set up an equation:

(2x + 3) + (x - 6) = 180

Explanation:
We start by adding the measure of the first angle (2x + 3) with the measure of the second angle (x - 6), and the sum should be equal to 180 degrees. By doing so, we are equating the total measure of the two adjacent angles with the given angle measure.

Simplifying the equation, we combine like terms:

3x - 3 = 180

To isolate the variable, we can add 3 to both sides:

3x = 183

Finally, we solve for x by dividing both sides by 3:

x = 61

Now, we can substitute the value of x back into the original expressions to find the measure of the two adjacent angles.

The first angle: (2x + 3) = (2 * 61 + 3) = 125 degrees
The second angle: (x - 6) = (61 - 6) = 55 degrees

Therefore, the measure of the two adjacent angles is 125 degrees and 55 degrees.

(2x+3)degrees, (x-6) degrees

Which two equations can be used to determine the measure of these two adjacent angles?

Apologies for the confusion in my previous response. Let me correct it for you.

To determine the measure of two adjacent angles (2x+3) degrees and (x-6) degrees, we can use the equations:

1. (2x+3) + (x-6) = 180
Explanation: The sum of the two angles is equal to the total angle measure, which is 180 degrees.

2. (2x+3) - (x-6) = 180
Explanation: The difference between the two angles is equal to the total angle measure, which is 180 degrees.

In both equations, we set up a relationship between the given angles and the total angle measure. By solving these equations, we can determine the value of 'x' and subsequently find the measures of the two adjacent angles.

Which two equations can be used to determine the measure of these two adjacent angles? (2 points) Responses 2x+3=x−6 2 x plus 3 is equal to x minus 6 3x−3=180 3 x minus 3 is equal to 180 (2x+3)−(x−6)=180 open paren 2 x plus 3 close paren minus open paren x minus 6 close paren is equal to 180 (x+6)−(2x+3)=180 open paren x plus 6 close paren minus open paren 2 x plus 3 close paren is equal to 180 (2x+3)+(x−6)=180

chose 2 answeres