Please help I have been on this for hours :) Find z

(Find the measure of the exterior angle of the polygon)

106

Step-by-step explanation:

If you find the sum of the interior angles, you can determine the supplement to z.

Then all you have to do to get z is to subtract it from 180.

Method

The supplement of 72 is 180 -  72 = 108

The supplement of 51  is 180 - 51 =   129

The supplement of 60 is 180 - 60 = 120

The supplement of 71  is 180 - 71 =   109

Let y = the supplement of z

y + 108 + 129  + 120 + 109 = 540

y + 466 = 540

y = 540 - 466

y = 74

z + y = 180

z + 74 = 180

z = 180 - 74

z = 106

I hope that get's rid of your headache.