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

The two angles M and N are m∠M=113° and m∠N=61° when Angle K measures 67º and angle L measures 119°

What are Supplementary angles?

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

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°

m∠M=113° m∠N=61°

Hence the two angles M and N are m∠M=113° and m∠N=61° when Angle K measures 67º and angle L measures 119°

To know more about Supplementary angles follow

https://brainly.com/question/12919120a