David is trying to determine the lengths of the line segments that make up the polygon on the grid below. E(-6, 8)
10
8
A(5.7)
6
4
2
JO
-10-8-6-4-2 2
-2
4 6 8 10
B(10, -2)
-4
6
D(-6, -6)
C(8,-6)
104
Which statements about lengths of the line segments are true? Check all that apply.

28°

Step-by-step explanation:

In the given picture , we are given that ∠NOP = 104°.

Also, in triangle MNO ,

segment MN ≅ segment NO

⇒ ∠NMO ≅ ∠NOM       [Angles opposite to equal sides of a triangle are equal]                                                                                                 (i)

Also, ∠NOM+∠NOP=180°

⇒ ∠NOM=180°-∠NOP = 180°- 104° = 76°

From (i) , ∠NMO = ∠NOM = 76°

Now, in  ΔMNO, we have

⇒∠MNO+∠NMO + ∠NOM=180°     [Angle sum property]

⇒∠MNO +76°+76°=180°

⇒∠MNO +152°=180°

⇒∠MNO =180°-152°=28°

Hence, the measure of ∠MNO = 28°