Question

The interior angle measure of a regular polygon is calculated with the following formula, where n represents the number of sides or interior angles of the regular polygon.

Determine the measure of the interior angles of a regular octagon and identify whether or not a regular octagon can be used as the only shape in a regular tessellation.


144°, no

135°, yes

144°, yes

135°, no



THE RIGHT ANSWER IS A 144°, no

Answer 1

Explanation:

oct means 10

(n-2)/n * 180

= (10-2)/10 * 180

= 144°

144 + 144 = 288 < 360

144 + 144 + 144 = 432 > 360

so a regular octagon can NOT be used as the only shape in a regular tessellation.

ans is A

Answer 2

Explanation:

The interior angle measure of a regular polygon is calculated with 180*(n-2)/n, where n represents the number of sides.

A regular octagon has 10 sides so it interior angle = 180*(10-2)/10

= 144

A tessellation is a tile pattern with the same polygon repeating. The polygon's interior angles must combine to form 360 degree. A regular octagon has interior angle of 144 degree which does not add to 360 degree. So a regular octagon cannot be used as the only shape in a regular tessellation.

The answer is 144°, no.