Question

A diagonal of a parallelogram bisects one of its angle. Prove that it will bisect its opposite angle also.
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Answer 1

Answer:

jay shree ram

Step-by-step explanation:

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Gagan Sam Ang Kanti Kali, Radhika Chamak Rahi Aali

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Shri Girdhar Krishna Murari Ki

Answer 2

Answer:

Let us draw the figure as per given condition (Fig.). In it, AC is a diagonal which bisects ∠BAD of the parallelogram ABCD, i.e., it is given that ∠BAC = ∠DAC. We need to prove that ∠BCA = ∠DCA. AB || CD and AC is a transversal. Therefore, ∠BAC = ∠DCA (Alternate angles) (1) Similarly, ∠DAC = ∠BCA (From AD || BC) (2) But it is given that ∠BAC = ∠DAC (3) Therefore, from (1), (2) and (3), we have ∠BCA = ∠DCA Read more on Sarthaks.com - https://www.sarthaks.com/872096/diagonal-parallelogram-bisects-one-its-angle-prove-that-will-bisect-opposite-angle-also