Question

BEC is an equilateral triangle inside the square ABCD. The value of angle ECD is ______.

पर्याय

• 60°

• 30°

• 75°

• 45°

Answer 1

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°