Question

In parallelogram LMNO, what is the measure of angle N? 50° 70° 110° 130°

Answer 1

we know that

In a parallelogram opposite angles are congruent and consecutive angles are supplementary.

So

m∠O=m∠M

m∠L=m∠N

m∠O+m∠L=$180$

Step $1$

Find the value of x

$(x+20)+(2x+10)=180\\ 3x+30=180\\ 3x=180-30\\ x=\frac{150}{3} \\ \\ x=50\ degrees$

Step $2$

Find the value of angle L

m∠L$=(2x+10)$

m∠L$=(2*50+10)$

m∠L$=110\ degrees$

Remember that

m∠N=m∠L

m∠N=$110\ degrees$

therefore

the answer is

the measure of the angle N is equal to $110\ degrees$

Answer 2

Answer:

I hope this helps but the measure of angle N is 110°

Step-by-step explanation: