Question

A 180 angle (straight line) is formed by two adjacent angles. One angle has a measure of (2x+3) degrees and the other has a measure of (x-6) degrees. What are the measures of the two angles that make up the straight line?

Answer 1

that is incorrect

Answer 2

To find the measures of the two angles, we can set up an equation since the sum of the two angles must equal 180 degrees.

So, (2x+3) + (x-6) = 180
Combining like terms, we get 3x-3=180.
Adding 3 to both sides, 3x=183.
Dividing both sides by 3, we find x=61.

Now we can substitute this value back into the expressions for the angles to find their measures.

The first angle is (2x+3) = 2(61)+3 = 123 degrees.
The second angle is (x-6) = 61 - 6 = 55 degrees.

Therefore, the measures of the two angles that make up the straight line are 123 degrees and 55 degrees.

Answer 3

Apologies for the mistake. Let's solve it correctly.

Start by setting up the equation:

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

Combine like terms:

3x-3 = 180

Add 3 to both sides:

3x = 183

Divide both sides by 3:

x = 61

Now, substitute the value of x back into the expressions for the angles:

First angle: 2x+3 = 2(61)+3 = 122+3 = 125 degrees
Second angle: x-6 = 61-6 = 55 degrees

Therefore, the measures of the two angles that make up the straight line are 125 degrees and 55 degrees.