Question

Assertion(A)
If a line is perpendicular to one of the two given
parallel lines then it is also perpendicular to the
other line.
Reason (K)
: If two lines are intersected by a traversal then the
bisectors of any pair of alternate interior angles
are parallel
If both A & Rare true and Ris the correct
explanation of A.
If both A and Rare true but Ris not the
correct explanation of A.
If A is true but Ris false.
If A is false but R is true,​

Answer 1

Answer:

(a) if both A and R are true and R is the correct explination of A

Answer 2

Answer:

a) Both A & R are true and R is the correct explanation of A.

Step-by-step explanation:

• The assertion given is that if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other line.
• Two lines that are parallel to one other never intersect.
• Parallel lines are identical and equidistant from each other.
• So, a perpendicular to one of the parallel lines will also be perpendicular to the other.
• The reason given is that if two lines are intersected by a traversal, then the bisectors of any pair of alternate interior angles are parallel.
• When two parallel lines are intersected by a traversal line, a pair of alternate angles is formed which are equal.
• If we draw angle bisectors of these two alternate angles, the angle bisectors will be parallel lines.
• However, the angle made by the traversal line can also be 90°, i.e., the traversal line can also be perpendicular to the two lines and this property of angle bisector will still hold.

Therefore, both assertion and reason are correct and the reason is the correct explanation of the given assertion.

#SPJ3