Question

ello....❤️❤️100❤️❤️

Prove this ⤵️

Diagram *

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All right angles are congruent.

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Answer 1

$\huge\bold\pink{Heya\:Gunda!!!.}$

ᴡᴇ sᴀʏ ᴛʜᴀᴛ ᴛʜᴇ ᴀɴɢʟᴇ ∡ᴀᴏʙ∡ᴀᴏʙ ɪs ᴛʜᴇ sᴜᴘᴘʟᴇᴍᴇɴᴛ ᴏғ ᴛʜᴇ ᴀɴɢʟᴇ ∡ʏ∡ʏ ɪғ ᴛʜᴇ ʟᴀᴛᴛᴇʀ ɪs ᴄᴏɴɢʀᴜᴇɴᴛ ᴛᴏ ᴀɴ ᴀᴅᴊᴀᴄᴇɴᴛ ᴀɴɢʟᴇ ∡ʙᴏᴄ∡ʙᴏᴄ ᴛᴏ ∡ᴀᴏʙ∡ᴀᴏʙ sᴜᴄʜ ᴛʜᴀᴛ ᴛʜᴇ ᴘᴏɪɴᴛs ᴀᴀ, ᴏᴏ ᴀɴᴅ ᴄᴄᴀʀᴇ ᴄᴏʟɪɴᴇᴀʟ.

ᴜsɪɴɢ ᴛʜɪs ᴅᴇғɪɴɪᴛɪᴏɴ ᴀɴᴅ ᴛʜᴇ ғᴀᴄᴛ ᴛʜᴀᴛ ᴀɴ ᴀɴɢʟᴇ ɪs ʀɪɢʜᴛ ɪғғ ɪᴛ's ᴄᴏɴɢʀᴜᴇɴᴛ ᴛᴏ ᴏɴᴇ ᴏғ ɪᴛs sᴜᴘᴘʟᴇᴍᴇɴᴛs (ʙʏ ᴅᴇғɪɴɪᴛɪᴏɴ), ʏᴏᴜ ᴄᴀɴ ᴘʀᴏᴠᴇ ᴛʜᴀᴛ ᴀʟʟ ʀɪɢʜᴛ ᴀɴɢʟᴇs ᴀʀᴇ ᴄᴏɴɢʀᴜᴇɴᴛ ᴀs ғᴏʟʟᴏᴡs:

ʟᴇᴛ ∡ᴀᴏʙ∡ᴀᴏʙ ʙᴇ ᴀ ʀɪɢʜᴛ ᴀɴɢʟᴇ, ᴛʜᴇɴ ɪᴛ's ᴄᴏɴɢʀᴜᴇɴᴛ ᴛᴏ ᴏɴᴇ ᴏғ ɪᴛs sᴜᴘᴘʟᴇᴍᴇɴᴛs (ᴀɴᴅ ᴛʜᴇʀᴇғᴏʀᴇ ᴛᴏ ᴀʟʟ ᴏғ ᴛʜᴇᴍ). ʟᴇᴛ ∡ʙᴏᴄ∡ʙᴏᴄ ʙᴇ ᴀɴ ᴀᴅᴊᴀᴄᴇɴᴛ sᴜᴘᴘʟᴇᴍᴇɴᴛ ᴏғ ∡ᴀᴏʙ∡ᴀᴏʙ, ᴛʜᴇɴ ∡ᴀᴏʙ≅∡ʙᴏᴄ∡ᴀᴏʙ≅∡ʙᴏᴄ ᴀɴᴅ ᴀᴀ, 00, ᴄᴄ ᴀʀᴇ ᴄᴏʟɪɴᴇᴀʟ.

ɴᴏᴡ ʟᴇᴛ ʏʏ ʙᴇ ᴀɴʏ ᴏᴛʜᴇʀ ʀɪɢʜᴛ ᴀɴɢʟᴇ ᴀɴᴅ ᴄᴏɴsɪᴅᴇʀ ᴅᴅ ᴀɴ ᴇxᴛᴇʀɪᴏʀ ᴘᴏɪɴᴛ ᴏғ ∡ᴀᴏʙ∡ᴀᴏʙsᴜᴄʜ ᴛʜᴀᴛ ∡ᴀᴏᴅ∡ᴀᴏᴅ ɪs ᴀ ʀɪɢʜᴛ ᴀɴɢʟᴇ ᴄᴏɴɢʀᴜᴇɴᴛ ᴛᴏ ʏʏ. ʜᴇʀᴇ ʏᴏᴜ ʜᴀᴠᴇ ᴛᴏ ᴘʀᴏᴠᴇ ᴛʜᴀᴛ: ʙʙ, ᴏᴏ ᴀɴᴅ ᴅᴅ ᴀʀᴇ ᴄᴏʟɪɴᴇᴀʟ ᴀɴᴅ ᴏɴᴄᴇ ʏᴏᴜ ʜᴀᴠᴇ ᴛʜɪs ᴘʀᴏᴠᴇ ᴛʜᴀᴛ ∡ᴀᴏʙ≅∡ᴀᴏᴅ∡ᴀᴏʙ≅∡ᴀᴏᴅ (ᴜsɪɴɢ "ᴠᴇʀᴛᴇx ᴏᴘᴘᴏsɪᴛᴇs" ᴀʀɢᴜᴍᴇɴᴛs),

Answer 2

Given:- <1 and <2 are right angle

<1=90•

<2=90•

Then <1 = <2

From this <1~= <2

Hence proved✔