In a pentagon,
(a) How many triangles will be made by the diagonals?
(b) What is the sum of angles of a pentagon?
Answers
perfect examples of polygons.
The interesting aspect is that the name of any kind of polygon highlights the number of sides the polygon possesses.
Is it a Pentagon?
A pentagon has 5 straight sides and the shape must also be closed (all the lines should connect to each other):
Types of Pentagon-
Regular Polygon
Irregular Polygon
Concave polygon
Convex Polygon
The General Rule
Each time we add a side (triangle to quadrilateral, quadrilateral to pentagon, etc), we add another 180° to the total sum.:
What is a Regular Polygon?
If all the sides of a polygon are equal and all the angles of a polygon are equal then the polygon is known as a regular polygon.
Different Shapes, Number of Sides, Sum of Interior Angles and the Measure of each Angle-
Shape
Sides
Sum of Interior Angles
Each Angle
Triangle
3 sides
180 degrees
60 degrees
Quadrilateral
4 sides
360 degrees
90 degrees
Pentagon
5 sides
540 degrees
108 degrees
Hexagon
6 sides
720 degrees
120 degrees
Heptagon
( or Septagon)
7 sides
900 degrees
128.57 degrees
Octagon
8 sides
1080 degrees
135 degrees
Nonagon
9 sides
1260 degrees
140 degrees
General Rule
Sum of Interior Angles of a polygon =
180 ×(n−2) degrees, where n is number of sides
Measure of each of the Angle (in a Regular Polygon) =
180 degrees ×(n−2) / n, where n is the number of sides/.
Properties
A regular pentagon has the following properties:
Step-by-step explanation:
a if quadrilateral then 6 triangle
b 540 degree