When two parallel lines (let's call them lines M and N) are intersected by a transversal, several angles are formed. The angles formed have specific relationships with each other.
Given that angle 1 is 135 degrees, we can analyze the relationships to find angles 6 and 8. If angle 1 is one of the interior angles formed on one side of the transversal, angle 2 (the corresponding angle on the other side of the transversal) will also be 135 degrees.
Assuming angle 6 and angle 8 are alternate interior angles on the same side of the transversal, their measures would be equal to the corresponding angles formed.
For angles located in the setup where angle 1 is 135 degrees, angle 6 would be equal to 135 degrees (corresponding angles) and angle 8 would typically be either the supplementary angle to angle 1 or an alternate corresponding angle.
To find the sum of angles 6 and 8:
- Assuming angle 6 = 135 degrees
- Angle 8 will be supplementary to angle 1 hence, angle 8 = 180 - angle 1 = 180 - 135 = 45 degrees.
Now, calculate the sum: \[ \text{Sum of angle 6 and angle 8} = \text{angle 6} + \text{angle 8} = 135 + 45 = 180 \text{ degrees.} \]
So, the sum of angle 6 and angle 8 is \( \textbf{180 degrees} \).