An equilateral triangle ABC surmounts a square BCDE. The value of ∠EAB + 3∠AEB is
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Correct answer: A
Explanation
The correct answer is option 1 i.e. 60°.
As seen in the figure
In △ABC all angles are equal = 60°
In the square, all angles are equal = 90°
Since EB = AB
∠AEB = ∠EAB = x
Since the sun of interior angles of a triangle = 180°
∠ABE + x + x = 180°
⇒ 150° + 2x = 180°
⇒ x = 15°
Hence value of ∠EAB + 3∠AEB = 15 + 45 = 60°