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In the figure, chord $E D$ is parallel to the diameter $A C$ of the circle . If $∠ C B E = 60 °$ , then the value of $∠ D E C$ is

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30 °

60 °

90 °

45 °

answer is A.

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Detailed Solution

∠ C B C = 90 °

Join $A B & C D$

$∴ ∠ A B C = 90 °$

$∴ ∠ A B E = 30 °$

$∴ ∠ E C A = 30 °$

Angle is same segment of circle

Question Image

And ED||AC

CF is transversal

$∴ ∠ D E C = ∠ E C A 30 °$

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