Question
2x+ 3 + x - 6 =
Write an equation for these two supplementary angles.
Explain how to solve for the value of x.
Find the measurement of each angle. Make sure to list both.
Write an equation for these two supplementary angles.
Explain how to solve for the value of x.
Find the measurement of each angle. Make sure to list both.
Answers
GPT 3.5
To write an equation for two supplementary angles, we know that the sum of their angles is equal to 180 degrees.
Let's solve for x in the given equation:
2x + 3 + x - 6 = 0
Combine like terms:
3x - 3 = 0
Add 3 to both sides:
3x = 3
Divide both sides by 3:
x = 1
Now, let's find the measurements of each angle. We substitute the value of x into the given equation:
2x + 3 = 2(1) + 3 = 2 + 3 = 5
x - 6 = 1 - 6 = -5
So the two angles are 5 degrees and -5 degrees. However, since angles cannot have negative measures, we discard the -5 value. Therefore, the two supplementary angles are 5 degrees and 175 degrees.
Let's solve for x in the given equation:
2x + 3 + x - 6 = 0
Combine like terms:
3x - 3 = 0
Add 3 to both sides:
3x = 3
Divide both sides by 3:
x = 1
Now, let's find the measurements of each angle. We substitute the value of x into the given equation:
2x + 3 = 2(1) + 3 = 2 + 3 = 5
x - 6 = 1 - 6 = -5
So the two angles are 5 degrees and -5 degrees. However, since angles cannot have negative measures, we discard the -5 value. Therefore, the two supplementary angles are 5 degrees and 175 degrees.