Question

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

Answer 1

I added the image of the diagram

Answer:
x = 50
∠N = 110°

Step-by-step explanation:
1- getting the value of x:
Since LMNO is a parallelogram, therefore, ∠L and ∠O are supplementary angles. This means that they add up to 180°.
Therefore:
180 = ∠L + ∠O
180 = 2x + 10 + x + 20
180 = 3x + 30
3x = 180 - 30
3x = 150
x = 50

2- getting ∠N:
Since LMNO is a parallelogram, therefore, opposite angles are equal.
This means that:
∠N = ∠L
We know that:
∠L = 2x + 10 where x = 50
Therefore:
∠N = 2x + 10
∠N = 2(50) + 10
∠N = 110°

Hope this helps :)

Answer 2

the picture in the attached figure

we know that
In a Parallelogram
a) Opposite angles are congruent
b) Consecutive angles are supplementary
so
in this problem
∠N=∠L
∠N+∠O=180°
then

(2x+10)+(x+20)=180°--------> 3x+30=180°-----> 3x=180°-30°----> x=150°/3
x=50°
∠N=(2x+10)------> ∠N=2*50+10------> ∠N=110°

the answer is
∠N=110°