What is the sum of interior angles of a polygon

Asked by admin @ in Mathematics viewed by 228 People

The sum of the interior angles of s regular polygon is 3960, how many sides does it have?

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

Answered by admin @


The equation for the sum of interior angles is :

Sum = (n-2) x 180, where n is the number of sides.

Replace sum with the given sum:

3960 = (n-2) x 180

Divide both sides by 180:

22 = n-2

Add 2 to each side:

24 = n

It has 24 sides.

For Each interior angle, divide the total sum by the number of sides:

3960 / 24 = 165 degrees

The interior and exterior angle needs to equal 180 degrees. To find the exterior angle, subtract the interior angle from 180:

180 - 165 = 15 degrees.


Similar Questions

How to find sum of interior angles of a polygon

Asked by admin @ in Mathematics viewed by 305 persons

Explain how the formula for finding the sum of the interior angle measures of a polygon is derived. (Site 1)

How to find sum of interior angles in a polygon

Asked by admin @ in Mathematics viewed by 279 persons

Explain how the formula for finding the sum of the interior angle measures of a polygon is derived. (Site 1)

What is the sum of all angles of a polygon

Asked by admin @ in Mathematics viewed by 290 persons

The sum of the interior angles of s regular polygon is 3960, how many sides does it have? What is the measure of each interior angle? What is the measure …

If the interior angle of a polygon is 170

Asked by admin @ in Math viewed by 319 persons

Find the number of sides of a regular polygon if each interior angle is equal to 170 degree

The interior angle of a regular polygon is 156

Asked by admin @ in Math viewed by 254 persons

The interior angle of regular polygon is 156 degree. find the number of sides of the polygon

Measure of each interior angle of a regular polygon

Asked by admin @ in Math viewed by 340 persons

Find the measure of each interior angle of a regular pentagon and regular hexagon(using formula) .

The interior angles of a polygon are in ap

Asked by admin @ in Math viewed by 407 persons

the angles of a polygon are in A.P. with common difference 5 degree if the smallest angle is 120 degree find the number of sides of the polygon

The sum of interior angles of a octagon is

Asked by admin @ in Math viewed by 335 persons

Find the sum of interior angles of octagon.​

What is the angle sum of a 20 sided polygon

Asked by admin @ in Math viewed by 320 persons

What is the sum of the angles of a 20 sided polygon?​

Find the sum of the interior angles of a nonagon

Asked by admin @ in Math viewed by 278 persons

Find the sum of interior angles of nonagon​

Sum of measures of exterior angles of a polygon

Asked by admin @ in Math viewed by 300 persons

Sum of measures of exterior angles of a polygon is???​

Which type of polygon has 6 sides and 6 angles

Asked by admin @ in Mathematics viewed by 332 persons

A convex polygon has 6 sides what is the sum of its interior angles

If two angles are supplementary then their sum is

Asked by admin @ in Math viewed by 330 persons

If two angles are supplementary then the sum of their measure is

Sum of three angles of triangle is 180 theorem

Asked by admin @ in Math viewed by 317 persons

Sum of three angles of triangle is 180 theorem for

All the angles of a regular polygon are of

Asked by admin @ in Math viewed by 296 persons

All the angles of a regular polygon are of?​

Most viewed questions in Mathematics

Unit 6 similar triangles homework 2 similar figures answer key

Asked by maham237 @ in Mathematics viewed by 18347 persons

All things algebra unit 7 polygons and quadrilaterals answer key

Asked by admin @ in Mathematics viewed by 8152 persons

Gina wilson all things algebra 2016 answer key unit 11

Asked by admin @ in Mathematics viewed by 5770 persons

Unit 1 geometry basics homework 4 angle addition postulate answers

Asked by maham237 @ in Mathematics viewed by 3931 persons

Unit 6 exponents and exponential functions homework 8 answer key

Asked by maham237 @ in Mathematics viewed by 3248 persons

The manager of a vacation resort believes that the ages

Asked by maham237 @ in Mathematics viewed by 2920 persons

What is 271 403 rounded to the nearest ten thousand

Asked by maham237 @ in Mathematics viewed by 2781 persons

Unit 1 geometry basics homework 3 angle relationships answer key

Asked by maham237 @ in Mathematics viewed by 2575 persons

Homework 2 parallelograms

Asked by maham237 @ in Mathematics viewed by 2499 persons

Why would a prism beat a sphere in a competition?

Asked by maham237 @ in Mathematics viewed by 2475 persons

John wants to send a letter to peter

Asked by maham237 @ in Mathematics viewed by 2459 persons

An artist sells a painting for 20.50 but uses 5.75

Asked by maham237 @ in Mathematics viewed by 2425 persons

Unit 4 congruent triangles homework 1 classifying triangles answer key

Asked by maham237 @ in Mathematics viewed by 2415 persons

Unit 4 congruent triangles homework 2 angles of triangles

Asked by maham237 @ in Mathematics viewed by 2070 persons

Compare the values of the 2s and 5s in 55220

Asked by maham237 @ in Mathematics viewed by 1792 persons