Given:
The figure of a circle.
To find:
The measure of LN.
Solution:
We know that the measure of arc is twice of measure of subtended angle on that arc.
In the given figure,
![m(arc(LN))=2(m\angle LMN)](https://img.qammunity.org/2022/formulas/mathematics/high-school/u6wji97lk4gpgeh5n88wdwlwafa9g34654.png)
Substituting the value of angle from the given figure, we get
![m(arc(LN))=2(47^\circ)](https://img.qammunity.org/2022/formulas/mathematics/high-school/977kmtlpi6umemdtg6e8gmtj63z10rg2jw.png)
![m(arc(LN))=94^\circ](https://img.qammunity.org/2022/formulas/mathematics/high-school/yf15nlclosg99t9zea0s80xcaq4khakqkz.png)
Therefore, the measure of arc LN is 94 degrees.