OBJECTIVES :
OBJECTIVES To be able to measure the interior angles of any convex polygon.
A polygon is a convex only if a segment joining any two points of the polygon lies completely inside the polygon, otherwise the polygon is non convex. :
A polygon is a convex only if a segment joining any two points of the polygon lies completely inside the polygon, otherwise the polygon is non convex.
Slide 4:
A vertex angle (interior angle) is an angle formed by two consecutive sides. A central angle is an angle formed by the segment joining consecutive vertices to the center of the regular n-gon.
The angle Sum Theorem states that the sum of the degree measures of the angles of a triangle is 180°. :
The angle Sum Theorem states that the sum of the degree measures of the angles of a triangle is 180°.
If a convex polygon has n sides, and S is the sum of the degree measure of its angles, then S=(n-2)180. :
If a convex polygon has n sides, and S is the sum of the degree measure of its angles, then S=(n-2)180.
Slide 8:
What is the sum of the measures of the angles of a regular octagon? 1. Example S = (n-2)180
= (8-2)180
= (6)180
S = 1080
Slide 9:
2. Example S = (n-2)180
= (5-2)180
= (3)180
S = 540 What is the sum of the measures of the angles of a pentagon?
Slide 10:
A POWER POINT PRESENTATION BY:SEDIEGO ANDY M. BSED MATH 4