I don’t know what the answer is
1 answer:
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Answer:
X + Y - W - Z = 180
Step-by-step explanation:
In parallel lines If you use the rules of:
* Alternate angles are equal
* Linear Pair Angles supplement to 180
And use the picture below for calculating the result: finally we get
Z = Y - (180 - (X - W)) which becomes the answer above if you simplify the parentheses.
You can search in google if you want for the "inscribed quadrilateral conjecture"
and if you want... I can give you a quick proof of it
hmmm in short, if you inscribe a quadrilateral polygon in a circle
it will have 4 angles
each pair of opposite angles, are "supplementary angles", or they add up to 180°
so.. that said in yours, R+P = 180 and Q+O = 180 as well
you only need Q
so
solve for "x"
how big is Q? well, 2x + 4 :)
and if you want... I can give you a quick proof of it
hmmm in short, if you inscribe a quadrilateral polygon in a circle
it will have 4 angles
each pair of opposite angles, are "supplementary angles", or they add up to 180°
so.. that said in yours, R+P = 180 and Q+O = 180 as well
you only need Q
so
solve for "x"
how big is Q? well, 2x + 4 :)