Task is to Find m angle 2

Question

Method 1:Find a measure of an angle of a hexagon first

The sum of the measure of the interior angles =(6-2)180 or 720

The measure of one interior angle is 720/6 or 120

The measure of its adjacent exterior angle , angle 1 is 180-120 or 60

Method 2 :find the measure of an exterior angle directly

The sum of the measure of the exterior angle is 360

The measure of one exterior angle , angle 1 is 360/6 or 60

Answer 1

A hexagon has 6 sides; so each of the 6 center angles=60deg.

There is now 6 triangles. One triangle has 180-2x deg.=center angle. So 180-60=120

120/2=60

Each triangle has 3=sides and 3=angles of 60 deg.

The outer angles each are 120 deg. So 120*60=7200deg (outer angle sum).