Question

5. In the following figure, AB || CD and AB=CD. Prove that AAOB=ADOC?
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Answer 1

Answer:

ᴀʙ∥ᴄᴅ ( ɢɪᴠᴇɴ )

ɪɴ △ᴀᴏʙ ᴀɴᴅ △ᴅᴏᴄ,

∠ᴀᴏʙ=∠ᴅᴏᴄ (ᴠᴇʀᴛɪᴄᴀʟʟʏ ᴏᴘᴘᴏsɪᴛᴇ ᴀɴɢʟᴇs)

∠ᴏᴀʙ=∠ᴏᴅᴄ (ᴀʟᴛᴇʀɴᴀᴛᴇ ᴀɴɢʟᴇs)

∠ᴀʙᴏ=∠ᴅᴄᴏ (ᴀʟᴛᴇʀɴᴀᴛᴇ ᴀɴɢʟᴇs)

ғʀᴏᴍ ᴀᴀᴀ (ᴀɴɢʟᴇ-ᴀɴɢʟᴇ-ᴀɴɢʟᴇ) sɪᴍɪʟᴀʀɪᴛʏ ᴛʜᴇᴏʀᴇᴍ,

△ᴀᴏʙ∼△ᴅᴏᴄ................. .............. ............

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