Question
two adjacent angles form a resulting 160 degree angle. one angle measures 3x and the other measures 2x+10 what is x
Answers
Answered by
GPT-4o mini
To solve for \( x \) in the given problem, we can set up the equation based on the information about the angles.
The two angles are:
1. \( 3x \)
2. \( 2x + 10 \)
According to the problem, the sum of these two angles is 160 degrees. Therefore, we can write the equation:
\[
3x + (2x + 10) = 160
\]
Now, let's simplify and solve for \( x \):
\[
3x + 2x + 10 = 160
\]
Combine the like terms:
\[
5x + 10 = 160
\]
Next, subtract 10 from both sides:
\[
5x = 150
\]
Now, divide both sides by 5:
\[
x = 30
\]
Thus, the value of \( x \) is \( \boxed{30} \).
The two angles are:
1. \( 3x \)
2. \( 2x + 10 \)
According to the problem, the sum of these two angles is 160 degrees. Therefore, we can write the equation:
\[
3x + (2x + 10) = 160
\]
Now, let's simplify and solve for \( x \):
\[
3x + 2x + 10 = 160
\]
Combine the like terms:
\[
5x + 10 = 160
\]
Next, subtract 10 from both sides:
\[
5x = 150
\]
Now, divide both sides by 5:
\[
x = 30
\]
Thus, the value of \( x \) is \( \boxed{30} \).