Question

The degree measure of the four angles of a quadrilateral are w,x,y,and z respectively. If w is the average (arithemetic mean) of x,y,z, then x + y + z = ? Is it 90 degrees?

Answer 1

x+y+z+w=360
x+y+z+ (x+y+z)/2=360
3(x+y+z)=720
x+y+z=720/3

check that

Answer 2

240 degrees?
It's not on the multiple choice list.
It's either
180 or 270 or 120 degrees.
(45 at least)

Answer 3

I think Bob has a typo in dividing x+y+z by 2 instead of 3

x+y+z+ (x+y+z)/3=360
3x+3y+3z + x+y+z = 1080
4x+4y+4z = 1080
x+y+z = 270

Answer 4

Thanks!
270 degrees is right.
Thought it was 180 .-.