Math, asked by pappukuttan14, 10 months ago

to verify that the opposite angles of a cyclic quadrilateral are supplementary by paper folding

Answers

Answered by devanayan2005
12

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°

Hope helps

Pls mark brainliest

Answered by miniru
2

Answer:

hope this will help

like my answer its from digest

Attachments:
Similar questions