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1. Instructions: first row is the name of polygon 2 nd row is the number of sides of that polygon divide each polygon into triangles by drawing diagonals from one of its vertices . 4th row if you already find out how many triangles formed inside the polygon, all you have to do is to multiply it by 180°.

2. Solving Problems Involving Sides and Angles of a Polygon

3. Interior angles - is defined as the formed between two adjacent side of a triangle . Sides of a polygon - they are made of straight line segment s connected to each other end to end. Sum of interior angles - it a sum of all interior angles inside the polygon.

4. The formula for Sum of interior angles is S= (n-2) 180˚. Where: S = is sum of the interior angles n = number of sides of a polygon   As you can see the table of our activity, do you see the sides of a polygon? Right, the number of sides (n) minus 2, then the answer to that is being multiply by 180˚.

5. So our next formula is Measure of each interior angles of a regular polygons; Each interior = In this formula you will know how to find the measure of each interior angle in the given polygon.   And for finding the number of sides of a regular polygons, you can use either which two of the formula based on what are the given in the questions.   If the given has interior angle, then you use this formula; each interior = , And if the given has the sum of measures of interior angles then you can use this formula in finding the sides of the angles of a regular polygons. S= (n-2) 180˚.  

6. Question #1 If the sum of the measures of the angles of a polygon is 540°, then what is the number of sides?   Question #2 Find the sum of the measure of the interior angles for Decagon.   Question #3 Find the measure of each interior angles of a nonagon. If the sum of measures of the angles is 1,260˚?

7. Exterior angle of a Regular Polygon. Exterior angles - is the angle between any side of a shape, and a line extended from the next side. Sum of Exterior Angles- the sum of all exterior angles of a regular polygon is 360˚.  

8. In finding the measure of each exterior angle of a regular polygons. The formula is In finding the sides of exterior angle of a polygon. You can still use the formula, , you just have to determined what is being asked in the given questions .  

9. Question #1. What is the measure of each exterior angle of a pentagon? Question #2. What is the measure of each exterior angle of a decagon? Question #3. Find the number of sides of a regular polygon when the measure of an exterior angle is 45˚.

10. Group into 2. Roam around the room, find anything that you can see considering it is a regular polygon. Then answer the following questions. 1. What is the name of the things you consider as a regular polygon? 2. What is the sum of interior angles of that polygon? 3. What is the measure of each interior angles? 4. What is the measure of each exterior angles?