Question

NEED HELP FAST Angle K measures 67º and angle L measures 119°. What are the measures of angles M and N? m = 61o and m = 113o m = 67o and m = 119o m = 113o and m = 61o m = 119o and m = 67o

Answer 1

Answer:

C. $\angle M=113^{o}$ and $\angle N=61^{o}$

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.

$\angle K+\angle M=180^{o}$

$67^{o}+\angle M=180^{o}$

$\angle M=180^{o}-67^{o}$

$\angle M=113^{o}$

Therefore, measure of angle M is 113 degrees.

We can see that angle N is opposite angle of angle L.

$\angle L+\angle N=180^{o}$

$119^{o}+\angle N=180^{o}$

$\angle N=180^{o}-119^{o}$

$\angle N=61^{o}$

Therefore, measure of angle N is 61 degrees.

Answer 2

C. <m = 113* and <m = 61*