Question

ABCD is a square and triangle DEF is equilateral. Triangle ADE is isosceles with AD=AE calculate size of angle AEF

Answer 1

Answer:

∠AEF  =  90°

Step-by-step explanation:

The size of angle AEF is given below:

Given that

ABCD is Square

CDF is a straight line

∠ADF = 90°

And triangle DEF is an Equilateral Triangle

So,

∠FDE = 60°

Now

∠ADE = 90° - 60°

= 30°

AD = AE

∠AED = 30°

∠DEF = 60°  because of an equilateral triangle  

Now

∠AEF  = ∠AED + ∠DEF

∠AEF  =  30° + 60°

∠AEF  =  90°