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

A company dyes two sizes of rugs. A small rug requires 2 hours for dyeing and a medium-size rug requires 3 hours for dyeing. The dyers need to make at least 15
What is the first step to determine the sequence of filling electron configurations of an element?
How do u do this???????
Which analogy most accurately defines scientific theory?
The selling price of an item is ​$ 455 After 6 months of not​ selling, it is marked down by 20​%. After another 6 months of not​ selling, it is further marked d
in a chemical reaction, mass is conserved. this means that...
A small 22 kilogram canoe is floating downriver at a speed of 3 m/s. What is the canoe's kinetic energy?
"the nicotine level in one dip of snuff equals that in ______ cigarettes."
What type of exercise is this activity? lifting weights?
Your body is in a constant state of transduction. a. True b. False