If the pairs of opposite sides in given quadrilateral are parallel based on the given figure.
Answer to Problem 30PPS
Pair p and q of opposite side is parallel but pair r and s or opposite sides is NOT parallel.
Explanation of Solution
Given information: Given following figure, showing forming a quadrilateral there:
Concept used:
By property of parallel lines, if two parallel lines are cut be a transversal, then the corresponding angles, thus forming are always equal to each other. And exterior corresponding angles on the same side of a transversal is 180 degree always.
Calculation:
Here as two lines r and s are being cut by a transversal p , the two corresponding angles
Conclusion:
By above calculation, it is concluded that only one pair of opposite sides p and q is parallel but another pair of opposite sides r and s is not parallel.
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