I need help with math hw please?

Question

For each regular polygon with the given number of sides, find the degree measures of
a. one exterior angle
b. one interior angle

4. 4 sides
6. 6 sides

thank you and God bless!

explain plz

Answer 1

Hey there!

In order to find an exterior angle of a regular polygon, use the formula.

360/n, where n is the number of sides.

So a regular polygon with 4 sides, the exterior angle would measure 360/4 or 90 degrees.

So a regular polygon with 6 sides, the exterior angle would measure 360/6 or 60 degrees.

In order to find the measure of interior angle of a regular polygon, use the formula.

180(n-2)/n, where n is the number of sides.

So the measure of the interior angle in a 4-sided polygon is 180(4-2)/4 or 90 degrees.

So the measure of the interior angle in a 6-sided polygon is 180(6-2)/6 or 120 degrees.

Hope it helps!

Answer 2

The sum of the interior angles for a 4 sided polygon is always 360 degrees and a regular polygon has all angles equal to eachother, therefore each interior angle will equal 90 degrees. The sum of the exterior angles is always 360 degrees. Divide this by the 4 angles and 90 degrees is the exterior angle.

The sum of each interior angle of a 6 sided figure is equal to 720 degrees and a regular polygon has all angles equal to eachother so this is divided by the number of angles ie 720/6. So each interior angle = 120 degrees. The sum of the exterior angles is always 360 degrees so each exterior angle is 360/6 = 60 degrees

Answer 3

4 a 270 degrees b 90 degrees

6 a 240degrees b 120 degrees

Answer 4

4. a. 90 degrees b. 90 degrees

6. a. 60 degrees b. 120 degrees

Answer 5

4) 90 or 270 that is all i kno