Question

ABCD is a square and ABE is an equilateral triangle on the side AB of the square. Angle DAE measures :(A) 60°(B) 45°(C) 30°(D) 15°

Answer 1

$\huge{Hey\:Mate\:Here\:Is\:Your\:Answer}$

$\textbf{Given That...}$

ABCD Is A Square And ABE Is A Equilateral Triangle . We Need To Find < DAE ( Let < This Be Sign On Angle )

Now Let's Move For Solution...

$\textbf{Solution...}$

So Now In Question It's Said That ABCD Is A Square .

ThereFore We Know That All Angles Of Square Is 90° (each )

That is

<A = <B = <C = <D = 90°

Now It's Also said That ∆ABE Is Equilateral ...

So We Know That Angles Of Equilateral Triangles Are All Equal To 60°

There For We Have

< EAB = <EBA = < AEB = 60°

Now By Figure

<DAE = <A - < EAB

Now Putting Values Of <A = 90° & <EAB = 60°

We Have ....

<DAE = 90° - 60°

That Is .....

<DAE = 30°

$\textbf{Hence The Required Answer Is ...}$

$\boxed{DAE\: =\: 30}$

Answer 2

30 degree is the answer