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Question
BEC is an equilateral triangle inside the square ABCD. The value of angle ECD is ______.
Options
60°
30°
75°
45°
MCQ
Fill in the Blanks
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Solution
BEC is an equilateral triangle inside the square ABCD. The value of angle ECD is 30°.
Explanation:
Since ABCD is a square, each of its interior angles is 90°, meaning ∠DCB = 90°. Because ΔBEC is an equilateral triangle, its interior angle ∠ECB = 60°. Therefore, the value of ∠ECD is calculated as:
∠ECD = ∠DCB − ∠ECB = 90° − 60° = 30°
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