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

Answer to Problem 34PPS
Lines are parallel.
Explanation of Solution
Given information:
Figure
Figure
The sum of
On solving
The sum of angles of line r
On solving
Theorem of exterior corresponding angles
When lines cut by a transversal and angles are congruent, then lines are parallel.
Here in figure, sum of angles on line r is exterior corresponding with the sum of angles on the line s.
And they are equal means they are congruent.
Value of each angle is
Hence, lines are parallel
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