· If ABCD is a square and DCE is an equilateral
triangle in the given figure, then ZDAE is equal to
E
(1) 45°
(2) 30°
D
С
(3) 15°
1°
(4) 22
2
A
B
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· If ABCD is a square and DCE is an equilateral
triangle in the given figure, then ZDAE is equal to
E
(1) 45°
(2) 30°
D
С
(3) 15°
1°
(4) 22
2
A
B
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(3) 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°