Question

Hey❤️​


the given figure abcd is a cyclone c quadrilateral whose diagonals intersect at p such that angle DBC= 60 degree and bac 40 degree find cad​.



By Choudhary21 ❤️​

Answer 1

Answer:

(ɪ) ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ ᴛʜᴇ ᴀɴɢʟᴇs ɪɴ ᴛʜᴇ sᴀᴍᴇ sᴇɢᴍᴇɴᴛ ᴀʀᴇ ᴇϙᴜᴀʟ

sᴏ ᴡᴇ ɢᴇᴛ

∠ʙᴅᴄ = ∠ʙᴀᴄ = 40°

ᴄᴏɴsɪᴅᴇʀ △ ʙᴄᴅ

ᴜsɪɴɢ ᴛʜᴇ ᴀɴɢʟᴇ sᴜᴍ ᴘʀᴏᴘᴇʀᴛʏ

∠ʙᴄᴅ + ∠ʙᴅᴄ + ∠ᴅʙᴄ = 180°

ʙʏ sᴜʙsᴛɪᴛᴜᴛɪɴɢ ᴛʜᴇ ᴠᴀʟᴜᴇs

∠ʙᴄᴅ + 40° + 60°= 180°

ᴏɴ ғᴜʀᴛʜᴇʀ ᴄᴀʟᴄᴜʟᴀᴛɪᴏɴ

∠ʙᴄᴅ = 180 °– 40 °– 60°

ʙʏ sᴜʙᴛʀᴀᴄᴛɪᴏɴ

∠ʙᴄᴅ = 180° – 100°

sᴏ ᴡᴇ ɢᴇᴛ

∠ʙᴄᴅ = 80°

(ɪɪ) ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ ᴛʜᴇ ᴀɴɢʟᴇs ɪɴ ᴛʜᴇ sᴀᴍᴇ sᴇɢᴍᴇɴᴛ ᴀʀᴇ ᴇϙᴜᴀʟ

sᴏ ᴡᴇ ɢᴇᴛ

∠ᴄᴀᴅ = ∠ᴄʙᴅ

sᴏ ∠ᴄᴀᴅ = 60°

Step-by-step explanation:

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Answer 2

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