Question

Prove that, any recatangle is a cyclic quadrilateral.​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

✨ Gɪᴠᴇɴ: ABCD ɪs ᴀ ʀᴇᴄᴛᴀɴɢʟᴇ. 

Tᴏ ᴘʀᴏᴠᴇ: ABCD ɪs ᴀ ᴄʏᴄʟɪᴄ ϙᴜᴀᴅʀɪʟᴀᴛᴇʀᴀʟ.

Pʀᴏᴏғ: ⟂XBCD ɪs ᴀ ʀᴇᴄᴛᴀɴɢʟᴇ.

[Gɪᴠᴇɴ] 

∴ ∠A = ∠B = ∠C = ∠D = 90°

[Aɴɢʟᴇs ᴏғ ᴀ ʀᴇᴄᴛᴀɴɢʟᴇ] 

Nᴏᴡ, ∠A + ∠C = 90° + 90° 

∴ ∠A + ∠C = 180° 

∴ ⟂ABCD ɪs ᴀ ᴄʏᴄʟɪᴄ ϙᴜᴀᴅʀɪʟᴀᴛᴇʀᴀʟ.

Cᴏɴᴠᴇʀsᴇ ᴏғ ᴄʏᴄʟɪᴄ ϙᴜᴀᴅʀɪʟᴀᴛᴇʀᴀʟ ᴛʜᴇᴏʀᴇᴍ✔