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

the temperature started at 89°f. if the temperature went up 6°f and then down 12°f, how many degrees above or below the high is the temperature?
why has machiavelli’s the prince evoked so much discussion and controversy? what do readers find enlightening, horrifying, or disturbing?
Educational reform effects of Horace Mann
programmers use the term ____ to describe programs that are well designed and easy to understand and maintain. a. industrial c. well-behaved b. intractable d. e
though written about the salem witch trials, the crucible also conveys miller’s views on _____.
I need help please and thank you
Expand and simplify 3(x+4)+2(5x-1)
Why is it often easier to start a fitness programs then it is to maintain one?
dentify the portion that contains a compound subject. 7. during the 1940s and 1950s, budd abbott and lou costello were a popular comedy team on radio, televisio
when Congress doesn't approve a presidents choice for a federal court this is a example of what