Question

E
B
15. If ABCD is a square and DCE is an equilateral
triangle in the given figure, then ZDAE is equal to
(a) 45°
(b) 30°
(c) 15°
(d) 221.
D
C
2
A А
B​

Answer 1

Answer: 15

Step-by-step explanation:Given, ABCD is a square. DCE is an equilateral triangle.

ABCD is a square,

AB=BC=CD=DA

DCE is an equilateral triangle,

DC=DC=CE

Hence, AB=BC=CD=DA=CE=DC

Now, In △ADE,

AD=DE

Thus, ∠AED=∠DAE=x

∠ADE=∠ADC+∠EDC

∠ADE=90+60

∠ADE=150  

∘

 

Sum of angles of triangle ADE = 180

∠ADE+∠AED+∠DAE=180

150+x+x=180

x=15  

∘

 

Hence, ∠DAE=15  

∘

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Answer 2

Answer:

Answer Is 45°

Step-by-step explanation:

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