# Help me please Dear Student,

10. Angle subtended at center = Twice the angle subtended on any point on the arc

So, option A is the correct answer.

11. $\angle L$ and $\angle NEI$ are in the same segment. So they have equal measures.

So, option A is the correct answer.

12.  Angle subtended at center = Twice the angle subtended on any point on the arc

So option B is the correct answer.

13. Since NL is a diameter, and Angle subtended at center = Twice the angle subtended on any point on the arc,

So the measure of arc NEL will be 180 degrees.

So option A is the correct answer.

14. Angle subtended at center = Twice the angle subtended on any point on the arc

Angle subtended at center = Twice the angle subtended on any point on the arc

Opposite angles of cyclic quadrilateral HLEN are supplementary

So none of the given options is the right answer.

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