Question

In the given figure OBC and OKH are straight lines If AH = AK, b = 80 degree and C = 30 degre then the value of d is​

Answer 1

Answer:

ɪɴ △ᴀʙᴄ, ∠ᴀ+∠ʙ+∠ᴄ=180∘

∠ᴀ=180∘−80∘−30∘=70∘

ɢɪᴠᴇɴ,ᴀʜ=ᴀᴋ  ⟹∠ᴀʜᴋ=∠ᴀᴋʜ

 ɪɴ △ᴀʙᴄ, ∠ᴀʜᴋ+∠ᴀᴋʜ+∠ʜᴀᴋ=180∘

2×∠ᴀᴋʜ=180∘−70∘

∠ᴀᴋʜ=2110∘=55∘

∠ᴀᴋʜ=∠ʙᴋᴏ=55∘ ...... (ᴠᴇʀᴛɪᴄᴀʟʟy ᴏᴩᴩᴏꜱɪᴛᴇ ᴀɴɢʟᴇꜱ)

ꜱɪɴᴄᴇ ᴄʙᴏ ɪꜱ ᴀ ꜱᴛʀᴀɪɢʜᴛ ʟɪɴᴇ,

∠ᴄʙᴀ+∠ᴏʙᴋ=180∘

∠ᴏʙᴋ=180∘−80∘=100∘

ɪɴ △ᴋᴏʙ, ∠ᴋᴏʙ+∠ᴋʙᴏ+∠ᴏᴋʙ=180∘

ᴅ+100∘+55∘=180∘

⇒ᴅ=25∘