# Help me please

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

$\angle NAI=2\angle L\Rightarrow \angle L=\frac{30\xb0}{2}=15\xb0$

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

$\angle HAN=2\angle HEN\Rightarrow \angle HEN=\frac{120\xb0}{2}=60\xb0$

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,

$\angle NEL=\frac{180\xb0}{2}=90\xb0$

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

$\angle LAE=2\angle N\Rightarrow \angle LAE=40\xb0$

$\angle HAL=180\xb0-120\xb0=60\xb0\phantom{\rule{0ex}{0ex}}\angle HAE=\angle HAL+\angle LAE=60\xb0+40\xb0=100\xb0$

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

$\angle HNE=\angle HAE/2=50\xb0\phantom{\rule{0ex}{0ex}}$

Opposite angles of cyclic quadrilateral HLEN are supplementary

$\angle HLE=180\xb0-\angle HNE=130\xb0$

So none of the given options is the right answer.

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