Question

find x and y in parallelogram ABCD​

Answer 1

Answer:

ᴀʙᴄᴅ ɪꜱ ᴀ ᴩᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ, ᴡɪᴛʜ ᴅɪᴀɢᴏɴᴀʟꜱ ᴀᴄ ᴀɴᴅ ʙᴅ ɪɴᴛᴇʀꜱᴇᴄᴛ ᴀᴛ ᴩᴏɪɴᴛ ᴏ.

⇒  ∠ᴀ+∠ʙ=180ᴏ         [ ꜱᴜᴍ ᴏꜰ ᴀᴅᴊᴀᴄᴇɴᴛ ᴀɴɢʟᴇꜱ ᴀʀᴇ ꜱᴜᴩᴩʟᴇᴍᴇɴᴛᴀʀy ɪɴ ᴩᴀʀᴀʟʟᴇʟ ]

⇒  110ᴏ+(40ᴏ+x)=180ᴏ

⇒  150ᴏ+x=180ᴏ

⇒  x=30ᴏ

ɪɴ △ᴏʙᴄ,

⇒  ∠ᴏʙᴄ+∠ʙᴄᴏ+∠ᴄᴏʙ=180ᴏ

⇒  x+50ᴏ+y=180ᴏ

⇒  30ᴏ+50ᴏ+y=180ᴏ

⇒  80ᴏ+y=180ᴏ

∴  y=100ᴏ

∴  x=30ᴏ,y=100ᴏ

Answer 2

complete your question and send diagram of this question