what is the average (arithmetic mean) of w,x,y,and z

Question

how is the answer 90

w°,x°,y°, and z°

Answer 1

Assuming we're talking about a quadrilateral, then the sum of the four internal angles is 360°, so w + x + y + z = 360°.  The arithmetic mean is:

 

(w+x+y+z)/4 = 360°/4 = 90°

Answer 2

The average (arithmetic mean) of w, x, y, and z is

 

A = (x + y + z + w)/4

 

So if it gave 90, then 

 

(x + y + z + w)/4 = 90 ⇒

 

x + y + z + w = 360