answersLogoWhite

0


Best Answer

Each exterior angle: 40 degrees

Each interior angle: 140 degrees

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the measure of each interior and each exterior angle of a regular nonagon?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Other Math

What is the interior and exterior angle of a regular nonagon?

Each exterior angle = 360/number of vertices = 360/9 = 40 degrees.Each interior angle = 180 - exterior angle = 180 - 40 = 140 degrees.


What is the measure of an interior angle for a regular ten-sided polygon?

144o. Sum of exterior angles of a polygon is 360o. Each exterior angle for a regular decagon is 360o / 10 = 36o. Exterior and interior angles are supplementary, that is sum to 180o. Therefore the interior angle of a regular decagon is 180o - 36o = 144o.


How do you find the number of sides a regular poly gon has by knowing the angles?

When a polygon is regular, each exterior angle is equal to the other exterior angles. Since the sum of all the exterior angles is 360 degrees, if you divide 360 by the measure of one exterior angle, you will get the number of sides. If you instead have the measure of an interior angle, simply calculate (180 - interior angle measure) to find the measure of the exterior angle, and use the above paragraph.


Give the formulas for finding the number of sides of a regular polygon when given the measure of an interior angle?

180-interior angle = exterior angle 360/exterior angle = number of sides


Find the number of sides a regular polygon must have to meet each condition each exterior angle measure is one eigth the measure of each interior angle?

An exterior angle of a regular polygon and its corresponding interior angle = 180° If an exterior angle is 1/8 of the interior angle (A) then A + A/8 = 180 : 9A = 1440 : A = 160 Each exterior angle is thus 180 -160 = 20° The number of sides = 360 ÷ exterior angle = 360 ÷ 20 = 18

Related questions

What is the measure of each exterior angle and each interior angle of nonagon?

Providing that it is a regular nonagon then each exterior angle measures 40 degrees and each interior angle measures 140 degrees


What is the measure of each interior angle and each exterior angle of a regular nonagon?

Each interior angle is 140 degrees. Each exterior angle is 220 degrees.


What is the interior and exterior of a regular nonagon?

Exterior angle 40 degrees Interior angle 140 degrees


What is each exterior angle measure of a regular nonagon?

40 degrees


What is the measure of one of the interior angles of the regular nonagon?

9


What is the measure of an interior angle and an exterior angle of a nonagon?

The sum of the interior angles of a polygon is 2n-4 Right Angles For a nonagon (2x9)-4 RAs = 14x90°=1260° To find the interior angle of a regular nonagon, divide this by 9 which gives 140° To find the exterior angle, subtract this from 180 and you get 40°. The sum of the exterior angles of a polygon is 360°, so for a regular polygon you can also divide this by the number of sides, which in this case also gives: 360° ÷ 9 = 40°


What is the measure of an exterior angle of a regular nonagon?

It is 360/9 = 40 degrees.


Find the measure of each exterior angle of a regular nonagon?

The measure is 360/9 = 40 degrees.


What is the measure of one of the exterior angles of the regular nonagon?

360/9 = 40 degrees


What is tha measure of each interior angleof a regular nonagon?

140 degrees is.


What is the measure of each interior angle in a regular convex nonagon?

140 degrees.


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

Each interior angle measures 140 degrees