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EB15. If ABCD is a square and DCE is an equilateraltriangle in the given figure, then ZDAE is equal to(a) 45°(b) 30°(c) 15°(d) 221.DC2A АB​

Answer»

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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