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?
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.
that is incorrect
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.