Saturday

October 25, 2014

October 25, 2014

Posted by **Monica** on Monday, November 22, 2010 at 11:41am.

Find the measure of each angle

How mant sides does this polygon have?

- Geometry -
**Reiny**, Monday, November 22, 2010 at 11:53amLook at a pair of interior and exterior angles.

Don't they form a straight line, so

13x-33 + x+3 = 180

14x = 210

x = 15

each exterior angle is 18°

and each interior is 162°

the sum of all exterior angles is always 360

so each angle is 360/18 or 20 angles

20 angles ----> 20 sides

**Answer this Question**

**Related Questions**

geometry - 1. An exterior angle of a regular polygon measures 30 degrees. What ...

Geometry - 1. How many sides does a regular polygon have if one exterior angle ...

Geometry - In a regular polygon (equal sides and angles), you use (n-2)180 to ...

math--fast help please - Find the interior and exterior angle measurements of a ...

7th Grade Math - What is the measure of an exterior angle of a regular polygon ...

Geometry - How do I find the number of sides a regular polygon has if I only ...

Geometry - Given: in triangle ABC, angle B= 120 degrees Prove: angle A does not...

Geometry HELP!! - I need help with my geometry hw, i need to now wat the ...

Algebra - In triangle ABC, the measure of angle B is 8 degrees more than three ...

geomerty - the measure of an interior angle is 60 degrees less than 11 times ...