+0  
 
0
191
1
avatar+87 

Help with this

 Aug 29, 2018
 #1
avatar+7076 
0

You see, the first one is a hexagon(6-gon), so the sum of interior angle is: 

\((6-2)\cdot(180^{\circ}) = 720^{\circ}\)

The second one is a pentagon(5-gon) although it is a concave pentagon. But in fact, you still use the same formula for this.

The sum of interior angle is:

\((5-2)\cdot(180^{\circ}) = 540^{\circ}\)

 

Edit:

Explanation for (n-2)*(180 degrees):

For any polygon, start from one of the vertices, then repeatedly draw an edge to another vertice, until all the vertices are directly connected with an edge. If the polygon is an n-gon, then it should now be divided into (n-2) triangles. So the sum of  interior angles should be (n-2)*(180 degrees).

.
 Sep 1, 2018
edited by MaxWong  Sep 1, 2018

53 Online Users

avatar
avatar
avatar
avatar
avatar
avatar
avatar
avatar
avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.