How many sides does a polygon have if the interior angle is 135?

8
Complete step-by-step answer: Let’s start with the assumption that the number of sides be n, this means that we have n sided regular polygon whose interior angle is 135∘. Therefore, we get the number of sides that the polygon has as 8.

Which of the following would be true of a regular polygon with an interior angle sum of 1080?

octagon
The polygon with an interior angle sum of 1080° is an octagon, or a polygon with 8 sides.

What is the number of sides of a regular polygon whose each exterior angle has a measure of 45?

As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 .

Is it possible to have a regular polygon whose interior angles measure 130?

The number of sides has to be a natural number, so 7.2 is not possible, therefore 130° is not possible for the angles of a regular polygon.

Is it possible to have a regular polygon whose each interior angle is 155?

Hence, it is not possible to have a regular polygon whose interior angle is 155°.

How do you find the measure of an interior angle of a regular polygon?

Lesson Summary A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n – 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n – 2) * 180 / n.

What is the measure of each interior angle of a regular polygon?

A regular polygon has all its interior angles equal to each other. For example, a square has all its interior angles equal to the right angle or 90 degrees….Interior angles of Regular Polygons.

Regular Polygon Name	Each interior angle
Triangle	60°
Quadrilateral	90°
Pentagon	108°
Hexagon	120°

What is the measure of each interior angle of a regular polygon of n sides?

1. In a regular polygon of n sides, all angles are equal. Therefore, each interior angle = (2n−4)×90°n.