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ABCD is a trapezium and ABED is a square...

ABCD is a trapezium and ABED is a square. If BE=EC, find a)`/-BAE` b) `/-ABC`

Text Solution

Verified by Experts

As `BE = EC`
`:./_EBC = /_ECB`
As `ABED` is a square.
`:. /_BED= 90^@ and /_ABE = 90^@`
`:. /_BEC = 180-90 = 90^@`
In `Delta BEC`,
`/_EBC+/_ECB+/_BEC= 180^@`
. `/_EBC+/_ECB = 180-90`
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