
Concept explainers
To determine whether lines r and s are parallel.Justify the answer.

Answer to Problem 35PPS
Lines r and s are parallel.
Explanation of Solution
Given information:
Figure
Figure
The sum of
On solving
Theorem of alternate exterior angles
When lines cut by a transversal and alternate exterior angles are congruent, then lines are parallel.
Here in figure, sum of angles on line r is alternate exterior angle with the angle of line s.
And they are equal means they are congruent.
Value of each angle is
Hence, lines r and s are parallel.
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