Final answer:
To create a sketch, draw two parallel lines and label a pair of same side exterior angles with algebraic expressions using x. The value of x is 10, so one angle is x degrees and the second is 180-x degrees, which indicates that the exterior angles are supplementary, and their sum is 180 degrees.
Step-by-step explanation:
To sketch a pair of parallel lines, draw two lines that are equidistant from each other and will never intersect. Label one line as 'Line 1' and the other as 'Line 2'. Now, we need to label a pair of same side exterior angles.
Let's assume the variable x represents the measure of the angle. Since same side exterior angles on parallel lines are supplementary, they add up to 180 degrees. If one of the angles is labeled as x degrees, the other angle must be labeled as 180-x degrees to ensure their sum equals 180 degrees. Now, to satisfy the condition that x equals 10:
- Angle on Line 1 = x
- Angle on Line 2 = 180-x (which will be 180-10 = 170)
If x is 10 degrees, then one same side exterior angle is 10 degrees, and the other is 170 degrees, confirming that same side exterior angles are supplementary, not congruent.
The correct answer to this question is b. 20, because if x equals 10, then the other exterior angle would be 170 degrees, and when we add 10 and 170, we get 180 degrees, showing that they are supplementary.