Question

Angle K measures 67º and angle L measures 119°. What are the measures of angles M and N?

Answer 1

see the attached picture to better understand the problem

we know that

The opposite angles in a quadrilateral inscribed in a circle are supplementary.

So

in this problem

m∠K+m∠M=$180$

m∠L+m∠N=$180$

Step $1$

Find the measure of angle M

m∠K+m∠M=$180$

m∠M=$180$-m∠K

m∠M=$180-67$

m∠M=$113$°

Step $2$

Find the measure of angle N

m∠L+m∠N=$180$

m∠N=$180$-m∠L

m∠N=$180-119$

m∠N=$61$°

therefore

the answer is

m∠M=$113$°

m∠N=$61$°

Answer 2

We need the graph/shape/figure to give you the correct answer