two adjacent angles form a resulting 160 degree angle. one angle measures 3x and the other measures 2x+10 what is x

Answer 1

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 \( \boxed{30} \).