Math, asked by abhijeetsingh95085, 4 months ago

8. The side BC of triangle ABC is produce to D. The bisector of LA meets BC at E.
Prove that LABC + LACD = 2LAEC
do it quickly friends​

Answers

Answered by kapilchavhan223
6

ᴀɴsᴡᴇʀ

ɪɴδᴀʙʟ

ʟᴇᴛ∠ʙᴀʟ=ᴀ&∠ʙᴀ=ʙ

ᴇxᴛᴇʀɪᴏʀ∠ᴀʟᴄ=∠ʙᴀʟ+∠ʟʙᴀ

=ᴀ+ʙ

ɪɴδᴀʙᴄ

ᴀʟʙɪsᴇᴄᴛ∠ʙᴀᴄ&∠ᴀᴄ=ᴀ

ᴇxᴛᴇʀɪᴏʀ∠ᴀᴄᴅ=∠ʙᴀᴄ+∠ᴀʙᴄ

=2ᴀ+ʙ

=∠ᴀʙᴄ+∠ᴀᴄᴏ

=ʙ+(2ᴀ+ʙ)

=2ᴀ+2ʙ

=2(ᴀ+ʙ)

=2∠ᴀʟᴄ

Hope it's helps....⚡♦️⚡

Answered by ytkingo
1

Answer:

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