Make sure to complete each step for full credit. The angles below are supplementary. Remember that supplementary angles add up to 180 degrees. 149 and ( 13x + 5 ) step 1: write out an equation that will solve for x step2: show each step for solving for x using inverse operation step 3: circle your final answer for x

1 answer

To find the value of \( x \) in the given problem involving supplementary angles, we will follow the steps you outlined.

Step 1: Write out an equation that will solve for \( x \)

Since the angles are supplementary, they add up to 180 degrees. We can set up the following equation:

\[ 149 + (13x + 5) = 180 \]

Step 2: Show each step for solving for \( x \) using inverse operations

  1. Combine like terms: \[ 149 + 13x + 5 = 180 \] \[ 154 + 13x = 180 \]

  2. Subtract 154 from both sides: \[ 13x = 180 - 154 \] \[ 13x = 26 \]

  3. Divide by 13: \[ x = \frac{26}{13} \] \[ x = 2 \]

Step 3: Circle your final answer for \( x \)

\[ \boxed{2} \]

This is the final answer for \( x \).