Respuesta :

m < LMN  = 180-50 = 130 degrees.   Reason:- internal angles supplementary.

m< LMN = m <MNP = 130             Reason:-  isosceles trapezoid.

m< MNO = 50 degrees               Reason:- opposite <'s of parallelogram.

Therefore m < ONP =  m MNP - m <MNO = 130 - 50 = 80 degrees.

In this exercise we have to use the knowledge of trapezoid to calculate the value of the angle, so we have:

[tex]ONP=80[/tex]

So we know that the angle LMN is a supplementary interior angle, like this:

[tex]m < LMN = 180-50 = 130[/tex]

And the angle LMN and MNP form an isosceles trapezoid so:

[tex]m< LMN = m

For me, the angle MNO forms an opposite parallelogram, in this way

[tex]m< MNO = 50[/tex]

Putting all this information together we find that;

[tex]m < ONP = m MNP - m

See more about trapezoid at  brainly.com/question/11600014