Question

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

Answer 1

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 \( x \).