Question

I don't understand how to find x in this? Can someone give me a format or something to follow?

Answer 1

so you'd know what the "missing angle" is, since is opposite to (2y+x), it'd be the same

now notice that the sum of all those angles, go really around and comes back to the beginning, thus making up a circle , thus ADDING UP to 360 degrees

meaning that \(\bf (2y+x)^o+{\color{brown}{ (2y+x)^o}}+(4x)^o+(2y-x)^o=360^o\)

thus just solve for "x"

Answer 2

(2y+x) + (2y-x) = 180
4y = 180
y = 45
Now 4x + 2y+x = 180
5x +2*45 = 180
x = 18

Answer 3

Thank you both so much for the help. I'm new to geometry, coming from Algebra so you could only imagine how difficult the transition is.

Answer 4

Yes, transition is difficult. Keep posting. :)

Answer 5

Will do. :)