1.

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»

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∘


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