Ieuebdui18272 Ieuebdui18272
  • 04-02-2022
  • Mathematics
contestada

Find the number of sides of a regular polygon in which the measure of an interior angle is three times the measure of an exterior angle.

Respuesta :

palazzolorachel palazzolorachel
  • 04-02-2022
The sum of the interior angles of any polygon is given by (n-2)180°, where n is the number of sides.

Also sum of all the exterior angles of any polygon is 360°

Given (n-2)180° = 3(360°)

=> n-2 = 6

=> n = 8.

Hence the number of sides of a polygon is 8
Answer Link

Otras preguntas

when you look at the speedometer in a moving car, you can see the car's
what are some properties of smalley's fullerenes
In the United States what tends to influence a persons level of prestige?
What is the simplified Square root of 41!?!?!??
9948 Is it divisible by 2,3,4,5,6,9 or 10 Even or odd
liquid water freezes into ice,it looks different. why is this not a chemical change
The vertex of this parabola is at (-1,-3) which of the following could be its equation
What languages were spoken in the eastern woodland tribes
According to edgar allan poe in "the philosophy of composition," why are short poems preferable when it comes to "unity of impression" ? a. because they are le
In the United States what tends to influence a persons level of prestige?