Cesstyidn
Answered

Makakuha ng mga sagot mula sa komunidad at mga eksperto sa IDNStudy.com. Sumali sa aming interactive na platform ng tanong at sagot para sa mabilis at eksaktong tugon mula sa mga propesyonal sa iba't ibang larangan.

The sum of the interior angles of a triangle is 180º; of a quadrilateral is 360º and of a pentagon is 540º. Assuming this pattern continues, what is the sum of the interior angles of a 10-sided polygon?

Sagot :

Kawaiiririidn
the sum of the interior angles of a decagon is 1440°C.. you can get it by the formula (n-2) 180.. n being the sides of the polygon..
Stratusidn
A traingle has 3 sides with 180 degress.
To get the "pattern" you need to Mathematically understand it.
A Quadrilateral has 4 sides with 360 degrees.
But a Quadrilateral may be divided into 2 triangles.
A triangle is 180 degress; 2 triangles are 360 degrees.
A pentagon has 5 sides with 540 degrees
But it can be formulated into 3 triangles.
3 x 180 = 540
Looking at the pattern, 3 sides is formulated into 1 traingle. 4 sides but can be formulated into 2 traingles. 5 sides but can be formulated into 3 traingles. 
3 - 1 = 2
4 - 2 = 2
5 - 3 = 2
Plus multiplying each by 180, will give the proper sum of all interior angles, depending on the number of sides.
So, the formula is (n-2) 180 degrees. 
Note: Use n as the number of sides of the polygon..
So a 10 sided polygon will have 1440 degrees.
Ang iyong kontribusyon ay mahalaga sa amin. Patuloy na magtanong at magbahagi ng iyong kaalaman. Sama-sama nating palawakin ang ating komunidad ng karunungan at pagkatuto. Salamat sa pagbisita sa IDNStudy.com. Bumalik ka ulit para sa mga sagot sa iyong mga katanungan.