In parallelogram LMNO, what is the measure of angle N? 50 ° 70 ° 110 ° 130 °
Question
Answer:
I added the image of the diagramAnswer:
x = 50
∠N = 110°
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 :)
solved
geometry
11 months ago
4741