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

what is mean of french​
Samuel earned $900 last month. He worked 60 hours last month. What is his hourly pay? a. $12.50 b. $15.00 c. $10.00 d. $14.00
interested to talk with man​
The bottom of liz's favorite teacup has a radius of 4 centimeters. what is the circumference of the bottom of the teacup?
Calculate the area of the regular pentagon shown below. Give your answer to 1 d.p. 16.2 cm is one side of the pentagon
Which body system is correctly paired with its function? circulatory — transports materials for energy release in body cells digestive — produces hormones for
A cube measures 3.0cm on each side and has a mass of 25 g .what is the density of the cube ?
sad sad asasd asdasdasdas adasd asd asd
In contrast to the "right-versus-right" ethical dilemma, a(n) (1 point) O Social decision O Ethical decision O Ethical experience O Fiduciary conflict is "right
What time period first introduced Christmas wreaths?