Question

ABCD is a trapezium and ABED is a square.If BE=EC,find:(a) angle BAE (b) angle ABC (c)what shape is the figure ABCE?

step by step explanation please.​

Answer 1

Here ABCD is the trapezium

And ABED is the square

So, we know that diagnol

of a square bisects the angle...

:. <BAE = <DAE

And <BAE + <DAE = 90°

So, <BAE = 45°

Also in ∆ BEC,

<BEC = 90°

Moreover BE-EC, so,

<EBC = <ECB

Using ∆ sum property

<BEC+ <EBC + (ECB = 180

< EBC + <ECB = 180°-90°

<EBC=45⁰

< ABC=<ABE + <EBC

<ABC = 90 +45°

<ABE = 135⁰