Question

Why 28, 60 and 120. tell me each step please?

Answer 1

Explanation:

Alright, so over here, the triangle is called an exterior angle. When there is a line outside the triangle.

And the line outside the triangle means that the line outside is equal to the 2 other angles.

So in this case, it would be 100 = 72 + x.

Now let's do 100 - 72 to get the missing x.

100 - 72 is 28, right?

So our answer is 28.

Now the next one.

Regular hexagons interior angle sum using the formula (n-2) × 180 = (6-2)×180 = 4 × 180° = 720°

every interior angle then would be 720/6 = 120°

Now exterior angles are always 360°

so all angles = 360/6 = 60º.

Answer 2

down here

Explanation:

Exterior angles is the sum of the two opposite angles

so 100 - 72° = x

x = 28°

thats how you get 28°

720° is the sum of angles in a regular hexagon

720 / 6 = 120°

So the interior is 120°

To find the exterior angle, simply subtract the interior degree from 180.

external degree = 180 - 120 = 60

The exterior angle of a regular hexagon is 60 degrees.