Question

Show that w+x+y+z=360°

Answer 1

w + x + y + z =
`360^(o)`

Supplementary angles are pairs of given angles which sums up to
`180^(o)`. Thus it can be observed that measure of angle w is supplementary to z, and measure of x is supplementary to y. As such;

w + z = 180

x + y = 180

(w + z) +( y + x)

180 + 180 =
`360^(o)`

Therefore, it can be inferred that:

w + x + y + z =
`360^(o)`