CK12 - Geometry

9. Eachexteriorangleformsa linearpair with its adjacentinternalangle.In a regularpolygon,you can use

two differentformulasto find the measureof eachexteriorangle.One way is to compute (measure

of eachinteriorangle)...in symbols.

Alternatively, you can use the fact that all exterioranglesin an -gon sum to and find the measure

of eachexterioranglewith by dividingthe sum by. Again,in symbolsthis is

Use algebrato showthesetwo expressionsare equivalent.

Answers

1. , [Diff: 1]


2. [Diff: 1]


3. [Diff: 1]


4. Belowis a samplesketch.

Eachexterioranglemeasures , the sum of the threeexterioranglesis [Diff: 2].

5. Sum of the anglesis. So, eachanglemeasures [Diff: 2].


6. Sinceeachexteriorangleformsa linearpair with its adjacentinteriorangle,we can find the measureof

eachexterioranglewith [Diff: 2].

7. [Diff: 2]


8. [Diff: 3]