What is the value of y in the parallelogram below? if necessary, round your answer to two decimal places

Question

anonymous · Answer

@jim_thompson5910 @mathstudent55 @Mertsj @skullpatrol @RyanL.

anonymous · Answer

@zepdrix

anonymous · Answer

@marsss

anonymous · Answer

...........what grade are you in that you cant answer that?

anonymous · Answer

@Ahsher97 Wow you're nice -______- if you're not gonna help than don't come on here

zepdrix · Answer

|dw:1359070062371:dw|

zepdrix · Answer

Yah wow that's pretty rude... not everyone is learning on the same level as you ash :\

zepdrix · Answer

Since it's a quadrilateral, how many degrees in total do the interior angles add up to? :)

anonymous · Answer

@zepdrix Awh, thanks! yeah, I'm just trying to finish up my math so I can graduate. It's all I have left, I just need a lil help! do they add up to 70 degrees? :)

zepdrix · Answer

lol no silly! :)

In a triangle, the interior angles add to $180^o$.
In a quadrilateral the interior angles add to $360^o$.

Since we have a PARALLELOGRAM, the angles opposite one another will be equal.

anonymous · Answer

i didnt post that sorry my friend is over :/

zepdrix · Answer

If you look at the picture, that means that $65^o=(2x+3)^o$ because those two angles are opposite one another.

Ok ok but let's think a little bit differently, since we don't need $x$.
If that angle is 65, and the angle involving $x$ is also 65, and we determined that a quadrilateral has 360 degrees total.
Hmmmm.

So those 2 angles $65^o+65^o=130^o$
How much does that leave over for the other 2 angles? :D

anonymous · Answer

Oh! So what's the opposite? 

@Ahsher97 Lol, it's all good :)

zepdrix · Answer

Oh thats weird :3 lol

anonymous · Answer

he shouldn't really talk he had to do summer school all four years of highschool

anonymous · Answer

Lolol awhh poor guy  xD well at least you didn't say that! I bet your friend was just kiddin' around anyway :)

anonymous · Answer

@zepdrix is the opposite 65 degrees?

anonymous · Answer

since the left angle is opposite? :)

tyteen4a03 · Answer

@Ahsher97 Please be nice to askers, regardless of which grade he/she is in. You have been there at one point.

Another way to look at this is by using Interior Angles property (i.e 65+5y =180)

zepdrix · Answer

|dw:1359070814837:dw|This upper angle is also 65 since it's opposite the 65 in a parallelogram.

How many degrees does that leave us with for the OTHER two angles if these two are each 65, and a quadrilateral has 360 degrees total? :D