1 / 8

Finding the Measure of Angles in Polygons

Finding the Measure of Angles in Polygons. In a regular polygon, all the angles and sides are the same size. To find the measure of a single angle: Divide the Sum by the Number of Sides. For example:

paul-compton
Download Presentation

Finding the Measure of Angles in Polygons

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Finding the Measure of Angles in Polygons

  2. In a regular polygon, all the angles and sides are the same size. To find the measure of a single angle: Divide the Sum by the Number of Sides. For example: In a regular pentagon, the sum of the interior angles is 540 and the number of sides is 5. °

  3. In your notebooks:Find the measure of a single angle in each regular polygon. 180 720 360 To find the measure of a single angle: Divide the Sum of the Interior Angles by the Number of Sides/Angles.

  4. To Find the Missing Angle, with an irregular polygon: Step 1: Find the sum of the interior angles for the polygon (count number of sides, and use formula) Step 2: Add up all the given angles. Step 3: Set two sums equal to each other. Step 4: Solve for x

  5. To Find the Missing Angle: 2 135 1 x Step 1: Find the sum of the interior angles for the polygon (ignore given angles, count number of sides, and use formula) 180(n – 2) = 180(7 – 2) = 180(5) = 900° 3 90 100 7 145 4 95 170 6 5

  6. To Find the Missing Angle: 135 x Step 2: Add up all the given angles. 100 + 95 + 170 + 145 + 90 + 135 + x = 735 + x 90 100 145 95 170

  7. To Find the Missing Angle: 135 x Step 3: Set two sums equal to each other. Step 4: Solve for x (you will need to subtract) 735 + x = 900 -735 -735 x = 165° 90 100 145 95 170

  8. Practice with One Angle in Regular and Irregular Polygons • Each of you will be working on a mini-worksheet titled: “Find the Measure on One Angle in a Regular Polygon.” • Use the first part of the notes. • When you finish, there will be a worksheet up front called, “Angles and Polygons: C.” • This worksheet is practice for IRREGULAR polygons. • Use the second part of the notes. • BOTH are DUE in class.

More Related