mayatamer005
mayatamer005 mayatamer005
  • 23-03-2020
  • Mathematics
contestada

A regular polygon has 23 sides.
Find the size of each interior angle.

Respuesta :

devishri1977
devishri1977 devishri1977
  • 23-03-2020

Answer:

Step-by-step explanation:

exterior angle = 360/23 = 15 15/23

Inetrior angle = 180- 15 15/23 =

[tex]=180-15\frac{15}{23}\\\\=180-\frac{360}{23}\\\\=\frac{180*23}{23}-\frac{360}{23}\\\\ =\frac{4140-360}{23}\\\\=\frac{3780}{23}\\\\=164\frac{8}{23}[/tex]

Always sum of all exterior angle of any regular polygon is 360

Inetrior angle and exterior angle are linear pair

Answer Link

Otras preguntas

The sum of 41 and w is 26
What is 2538 rounded to the nearest hundred
Apply the law of conservation of energy to explain how energy is conserved when water evaporates?
What is the relationship between the 6s in the number 660,472?
what problems could occur if scientists did not communicate the results of their investigation
The length of a rectangle is 7 yd less than three times the width, and the area of the rectangle is 66 yd ^2. Find the dimensions of the rectangle
Why critical thinking and skepticism are important to scientific inquiry?
What is the usual name for a rectangular prism
Sari has 3 times as many pencil erasers as Sam. Together, they have 28 erasers. How many erasers does Sari have?
Mark has 24 newspaper to deliver . In one apartment building ,he delivers 3/8 of them . In the next apartment building ,he delivers 2/3 of remaining amount . Ho