Answer:
C. [tex]\angle M=113^{o}[/tex] and [tex]\angle N=61^{o}[/tex]
Step by step explanation:
Since we know that if a quadrilateral is inscribed inside of a circle then opposite angles of quadrilateral are supplementary.
We can see that angle M is opposite angle of angle K.
[tex]\angle K+\angle M=180^{o}[/tex]
[tex]67^{o}+\angle M=180^{o}[/tex]
[tex]\angle M=180^{o}-67^{o}[/tex]
[tex]\angle M=113^{o}[/tex]
Therefore, measure of angle M is 113 degrees.
We can see that angle N is opposite angle of angle L.
[tex]\angle L+\angle N=180^{o}[/tex]
[tex]119^{o}+\angle N=180^{o}[/tex]
[tex]\angle N=180^{o}-119^{o}[/tex]
[tex]\angle N=61^{o}[/tex]
Therefore, measure of angle N is 61 degrees.
