Question

24. Two parallel lines l and m are intersected by a transversal t. Show
that the quadrilateral formed by the bisectors of interior angles is a
rectangle.
rem).
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Answer 1

Answer:

Step-by-step explanation:

||m and p intersects them at points A and C respectively. Bisectors of interior angles intersect at B and D.

Now PAC = ACR (alternate angles)

AB||DC (as alternate angles are equal)

Similarly BC||AD

ABCD is a parallelogram

Also PAC + CAS = 180o (Linear pair)

ABCD is a ||gm with one angle 90o

ABCD is a rectangle