If the diagonals of rectangle ABCD (ABBC ) cross at point E

Question

If the diagonals of rectangle ABCD ( AB \gt BC  ) cross at point E, what is the value of  \angle AEB  ?

(1) The value of  \angle EDC  is 15 degrees
(2) The value of  \angle ACB  is 75 degrees

geturdream · Answer

150

sanjoo · Answer

I read some where that.. diagonal breaks the angle in two half..

ACD is 90.. so will ECD be not 45?

Bunuel · Answer

No. The diagonal of a  square  bisects the angle but not all rectangles are squares.

sanjoo · Answer

Ok thanks bunuel..

bt is it true that diagonal of rectangle are same?

ae=be? and DE=CE? m i rite? and same with diagonal of square

Bunuel · Answer

Yes, the diagonals of a rectangle are equal in lengths.

dennis14 · Answer

Hi Bunuel,

Thanks for the reply. I am a big fan of yours!!

however, i have a question here. We know that diagonals of a rectangle donot bisect each other. If that is the case , then why the length EC and EB are similar in this case.

They could be different and hence the value of angle EBC can be different.

Please let me know if there is something wrong in my understanding here.

Bunuel · Answer

The diagonal of a rectangle DO bisect  each other , they cut each other in half. But the diagonal does NOT bisect the angle it's originated from.

hdwnkr · Answer

A rectangle is an almost perfect figure (except the opposite sides are unequal)

Any change in the rectangle that divides things into equal proportion will do so all across.

Each statement alone is sufficient.

bumpbot · Answer

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If the diagonals of rectangle ABCD (AB>BC ) cross at point E

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