ABCD is a square and ∆<bce is equilateral such that E is outside the square,then angle aed is
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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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