Question

Below are two parallel lines with a third line intersecting them.
Two parallel lines with a third line intersecting each line. Where the third line crosses the left most parallel line, the top, right most angle measure is 44 degrees. Where the third line crosses the right most parallel line, the top, left angle measure is x degrees.
\[44^\circ\]
\[x^\circ\]
\[x = \]

\[^\circ\]

Answer 1

Given two parallel lines \( l_1 \) (left) and \( l_2 \) (right) and a third line \( t \) that intersects both of them, we can solve for the angle \( x \).

1. **Identify Angles**:
- The top, right measure where the third line intersects the left parallel line \( l_1 \) is \( 44^\circ \).
- The corresponding angles formed by the transversal cut by the parallel lines indicate that the angles on either side of the transversal are equal.

2. **Corresponding Angles**:
- The angle \( 44^\circ \) at the intersection of line \( t \) with line \( l_1 \) has a corresponding angle at line \( l_2 \). This angle directly across from \( 44^\circ \) is also \( 44^\circ \) because they are corresponding angles formed by the transversal.

3. **Linear Pair of Angles**:
- The sum of angles on a straight line is \( 180^\circ \). Therefore, the angle adjacent to the \( 44^\circ \) angle at \( l_2 \) (which we are calling \( x \)) can be calculated as follows:

\[
x + 44^\circ = 180^\circ
\]

4. **Solve for x**:
- Rearranging gives:
\[
x = 180^\circ - 44^\circ
\]
\[
x = 136^\circ
\]

Thus, the value of \( x \) is:

\[
\boxed{136^\circ}
\]