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NAME DATE 61 PERIOD Skills Practice Angles of Polygons Find the sum of the measures of the interior angles of each convex polygon. 1. nonagon 2. heptagon 3. decagon The measure of an interior angle.

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Sum of interior angles of an n-sided regular polygon is given by (n - 2) × 180° Q.

Just divide the sum of the angles by the number of sides. Regular Polygon Interior Angle Formula: For any equiangular gon, the measure of each angle is ( n − 2 ) × 180 ∘ n . In the picture below, if all eight angles are congruent then each angle is ( 8 − 2 ) × 180 ∘ 8 = 6 × 180 ∘ 8 = 1080 ∘ 8 = 135 ∘ .

3:44 5:14 Sum of the Interior Angle Measurements of a Convex Polygon YouTube Start of suggested clip End of suggested clip If I call the number of sides. And I just subtract two and then multiply it by 180. And I'll get theMoreIf I call the number of sides. And I just subtract two and then multiply it by 180. And I'll get the sum of the interior angles of any convex polygon. So let's do a couple examples.

Polygon Exterior Angle Sum Theorem If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° . Consider the sum of the measures of the exterior angles for an n -gon. N=180n−180(n−2) Distribute 180 . N=180n−180n+360 =360.

The sum of the measures of the interior angles of a decagon (10 sided polygon) is 1,440.

5:13 9:54 Find the Sum of the Interior Angles - Polygon - YouTube YouTube Start of suggested clip End of suggested clip So this checks out with our triangle. Okay so here is the formula. The sum is equal to 180. Times nMoreSo this checks out with our triangle. Okay so here is the formula. The sum is equal to 180. Times n minus 2 that's the sum of the interior angles of a convex polygon.

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© Copyright 1997-2025
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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
DMCA Policy
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
All Forms
Search all Forms
Industries
Forms in Spanish
Localized Forms
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate workflows
DocHub
Instapage
Social Media
Call us now toll free:
1-877-389-0141
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232