Question

Two parallel lines / and m are intersected by a transversal p
see Fig. 8.15). Show that the quadrilateral formed by the bisectors of interior angles
is a rectangle​

Answer 1

the quadrilateral B is making 90° right angle and the opposite D is also making 90° and A and C is 45°

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Answer 2

Answer:

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Solution:

It is given that p q and l m

To prove:

Triangles ABC and CDA are similar i.e. ΔABC ΔCDA

Proof:

Consider the ΔABC and ΔCDA,

(i) BCA = DAC and BAC = DCA Since they are alternate interior angles

(ii) AC = CA as it is the common arm

So, by ASA congruency criterion, triangle ABC triangle CDA.

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