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Minchanka [31]
4 years ago
12

Given the diagram of parallelogram LMNO, solve for r.

Mathematics
2 answers:
goldfiish [28.3K]4 years ago
5 0
So here is how we are going to solve for r. In a parallelogram, given angles L and N are equal in measure, as well as angles M and O. Angles L and O are supplementary angles, as well as M and N. So the first thing we are going to do is to solve for t first.
<span>3t-15=2t+10
</span>3t-2t=10+15
t=25
Angle O : 2t + 10
<span>2(25)+10 = 60
</span><span>Adding L and O together gives you 180
so 4r+60=180
4r=120
r=30
</span><span>And 30*4=120
So r = 30
and angle L = 120
</span>Hope this answers your question.
Maslowich4 years ago
3 0
I got 30. If you set M and I equal to each other and solve you get 25. If you substitute 25 for t you get 60. L and I should be supplementary so if you subtract 60 from 180 you get 120. Lastly, since you're solving for r, you need to divided 120 by 4 to get 30.
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Help is for today!!!<br>Ayuda es para hoy.!!<br>​
lorasvet [3.4K]

Answer:

x=20 degrees

Step-by-step explanation:

So, lets recall some things.

First off, opposite angles are the same.

So this would make x equal 20.

But lets test this.

When you look at a X, or any other sort of two lines that cross each other, can you ever think of a time when one side is not the same as the other? No.

This is because when you change one angle, since the lines are crossed together, it will change the opposite angle. This change will always be constant as long as the two lines connect at the same point

So if you changed a 10 degree angle of two lines, so that it was 30, this would change for the other line.

I attached a image below.

I hope this explains this to you and helps! :D

==================================================================

Respuesta:

x = 20 grados

Explicación paso a paso:

Entonces, recordemos algunas cosas.

En primer lugar, los ángulos opuestos son iguales.

Entonces esto haría que x sea igual a 20.

Pero probemos esto.

Cuando miras una X, o cualquier otro tipo de dos líneas que se cruzan, ¿puedes pensar alguna vez en un momento en el que un lado no sea igual que el otro? No.

Esto se debe a que cuando cambia un ángulo, dado que las líneas se cruzan, cambiará el ángulo opuesto. Este cambio siempre será constante siempre que las dos líneas se conecten en el mismo punto

Entonces, si cambia un ángulo de 10 grados de dos líneas, de modo que sea 30, esto cambiaría para la otra línea.

Adjunto una imagen a continuación.

¡Espero que esto te explique esto y te ayude! :D

4 0
3 years ago
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