If lines a and b are parallel,and measure of angle N equals two x plus sixty degrees and measure of angle R equals three x, what is the value of x?

Question

adalrymple · Answer

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sacredtyras · Answer

Ill do it real quick, then show you how.

sacredtyras · Answer

Since the two angles it gives you in the question, angles N and R, you have to look at how they are related. 
The relations of any two angles are either congruent, adjacent, or vertical. 
Since the angles are adjacent to each other, meaning they are connected at one vertice, you get a straight line, which will always equal 180 degrees.
If the two angles are adjacent, you just add them together and make them equal to 180, like this. 
$$2x+60+3x=180$$ 
After this, you just combine like terms, subtract 60 from both sides, and you'll get this.
$$5x=120$$
once you get here, divide both sides by 5, and you'll get x=6, which is your final answer.
Hope this helped!!! :)

adalrymple · Answer

None of the choices are 6... one of them is 60? @sacredtyras

adalrymple · Answer

Nvm its 24 @sacredtyras

sacredtyras · Answer

Sorry I couldn't help, it's been a couple years since i've done that lol, but if you have anything else that you need help with i can try soomething else :)

sacredtyras · Answer

Actually, I made a really stupid division mistake at the very end. That was awful on my part. But all the other math that i explained to you is correct. :)