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Prove that sum of Opposite angles …

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Prove that sum of Opposite angles of cyclic parallelogram is supplymentry.

Posted by Shivani Gusain 8 years, 3 months ago

CBSE > Class 09 > Mathematics

2 answers

Golua Singham 8 years, 3 months ago

I think you must see example 6 of chapter 10.........I hope you can get your answer

1Thank You

Varun Banda 8 years, 3 months ago

Given : Let ABCD is cyclic quadrilateral.

To prove : ∠A + ∠C = 180° and ∠B + ∠D = 180°.

Construction: join OB and OD.

Proof :

∠BOD = 2 ∠BAD ∠BAD = 1/2∠ BOD

Similarly∠BCD = 1/2 ∠DOB ∠BAD + ∠BCD

= 1/2∠BOD + 1/2 ∠DOB

=1/2(∠ BOD + ∠DOB)

= (1/2)X360° = 180°

Similarly ∠B + ∠D = 180°

4Thank You

ANSWER

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CBSE > Class 09 > Mathematics